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Finding the Fourth Proportional to 9,512.76, 13,124.85 and 5,734.14

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Solution

The fourth proportional to 9,512.76, 13,124.85 and 5,734.14 is: 7,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.76 : 13,124.85 = 5,734.14 : x
  2. Step 2: Convert to fraction form
    9,512.76/13,124.85 = 5,734.14/x
  3. Step 3: Cross multiply
    9,512.76x = 13,124.85 × 5,734.14
  4. Step 4: Simplify right side
    9,512.76x = 75,259,727.38
  5. Step 5: Solve for x
    x = 75,259,727.38/9,512.76
  6. Step 6: Final answer
    x = 7,911.45

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Half scale
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Double scale
Find fourth proportional to 9,513.76, 13,126.23 and 5,735.14
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.