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Finding the Fourth Proportional to 11,274.74, 15,562.74 and 7,918.38

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Solution

The fourth proportional to 11,274.74, 15,562.74 and 7,918.38 is: 10,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.74 : 15,562.74 = 7,918.38 : x
  2. Step 2: Convert to fraction form
    11,274.74/15,562.74 = 7,918.38/x
  3. Step 3: Cross multiply
    11,274.74x = 15,562.74 × 7,918.38
  4. Step 4: Simplify right side
    11,274.74x = 123,231,689.16
  5. Step 5: Solve for x
    x = 123,231,689.16/11,274.74
  6. Step 6: Final answer
    x = 10,929.89

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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.