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Finding the Fourth Proportional to 7,407.71, 11,115.93 and 2,731.01

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Solution

The fourth proportional to 7,407.71, 11,115.93 and 2,731.01 is: 4,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.71 : 11,115.93 = 2,731.01 : x
  2. Step 2: Convert to fraction form
    7,407.71/11,115.93 = 2,731.01/x
  3. Step 3: Cross multiply
    7,407.71x = 11,115.93 × 2,731.01
  4. Step 4: Simplify right side
    7,407.71x = 30,357,715.99
  5. Step 5: Solve for x
    x = 30,357,715.99/7,407.71
  6. Step 6: Final answer
    x = 4,098.12

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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.