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Finding the Fourth Proportional to 5,130.76, 7,696.14 and 1,235.16

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Solution

The fourth proportional to 5,130.76, 7,696.14 and 1,235.16 is: 1,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.76 : 7,696.14 = 1,235.16 : x
  2. Step 2: Convert to fraction form
    5,130.76/7,696.14 = 1,235.16/x
  3. Step 3: Cross multiply
    5,130.76x = 7,696.14 × 1,235.16
  4. Step 4: Simplify right side
    5,130.76x = 9,505,988.51
  5. Step 5: Solve for x
    x = 9,505,988.51/5,130.76
  6. Step 6: Final answer
    x = 1,852.75

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.