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Finding the Fourth Proportional to 11,439, 15,775.02 and 7,463.16

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Solution

The fourth proportional to 11,439, 15,775.02 and 7,463.16 is: 10,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439 : 15,775.02 = 7,463.16 : x
  2. Step 2: Convert to fraction form
    11,439/15,775.02 = 7,463.16/x
  3. Step 3: Cross multiply
    11,439x = 15,775.02 × 7,463.16
  4. Step 4: Simplify right side
    11,439x = 117,731,498.26
  5. Step 5: Solve for x
    x = 117,731,498.26/11,439
  6. Step 6: Final answer
    x = 10,292.11

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Double scale
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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.