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Finding the Fourth Proportional to 9,410.76, 12,987 and 5,432.22

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Solution

The fourth proportional to 9,410.76, 12,987 and 5,432.22 is: 7,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.76 : 12,987 = 5,432.22 : x
  2. Step 2: Convert to fraction form
    9,410.76/12,987 = 5,432.22/x
  3. Step 3: Cross multiply
    9,410.76x = 12,987 × 5,432.22
  4. Step 4: Simplify right side
    9,410.76x = 70,548,241.14
  5. Step 5: Solve for x
    x = 70,548,241.14/9,410.76
  6. Step 6: Final answer
    x = 7,496.55

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Half scale
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Double scale
Find fourth proportional to 9,411.76, 12,988.38 and 5,433.22
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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.