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Finding the Fourth Proportional to 7,957.71, 11,938.43 and 7,825.48

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Solution

The fourth proportional to 7,957.71, 11,938.43 and 7,825.48 is: 11,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.71 : 11,938.43 = 7,825.48 : x
  2. Step 2: Convert to fraction form
    7,957.71/11,938.43 = 7,825.48/x
  3. Step 3: Cross multiply
    7,957.71x = 11,938.43 × 7,825.48
  4. Step 4: Simplify right side
    7,957.71x = 93,423,934.91
  5. Step 5: Solve for x
    x = 93,423,934.91/7,957.71
  6. Step 6: Final answer
    x = 11,740.05

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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.