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Finding the Fourth Proportional to 10,391.47, 15,575.65 and 7,918.14

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Solution

The fourth proportional to 10,391.47, 15,575.65 and 7,918.14 is: 11,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.47 : 15,575.65 = 7,918.14 : x
  2. Step 2: Convert to fraction form
    10,391.47/15,575.65 = 7,918.14/x
  3. Step 3: Cross multiply
    10,391.47x = 15,575.65 × 7,918.14
  4. Step 4: Simplify right side
    10,391.47x = 123,330,177.29
  5. Step 5: Solve for x
    x = 123,330,177.29/10,391.47
  6. Step 6: Final answer
    x = 11,868.41

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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.