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Finding the Fourth Proportional to 10,390.47, 15,574.16 and 7,917.14

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Solution

The fourth proportional to 10,390.47, 15,574.16 and 7,917.14 is: 11,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.47 : 15,574.16 = 7,917.14 : x
  2. Step 2: Convert to fraction form
    10,390.47/15,574.16 = 7,917.14/x
  3. Step 3: Cross multiply
    10,390.47x = 15,574.16 × 7,917.14
  4. Step 4: Simplify right side
    10,390.47x = 123,302,687.65
  5. Step 5: Solve for x
    x = 123,302,687.65/10,390.47
  6. Step 6: Final answer
    x = 11,866.90

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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.