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Finding the Fourth Proportional to 7,809.71, 11,715.54 and 2,545.25

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Solution

The fourth proportional to 7,809.71, 11,715.54 and 2,545.25 is: 3,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.71 : 11,715.54 = 2,545.25 : x
  2. Step 2: Convert to fraction form
    7,809.71/11,715.54 = 2,545.25/x
  3. Step 3: Cross multiply
    7,809.71x = 11,715.54 × 2,545.25
  4. Step 4: Simplify right side
    7,809.71x = 29,818,943.01
  5. Step 5: Solve for x
    x = 29,818,943.01/7,809.71
  6. Step 6: Final answer
    x = 3,818.19

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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.