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Finding the Fourth Proportional to 8,665, 11,957.78 and 4,939.08

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Solution

The fourth proportional to 8,665, 11,957.78 and 4,939.08 is: 6,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665 : 11,957.78 = 4,939.08 : x
  2. Step 2: Convert to fraction form
    8,665/11,957.78 = 4,939.08/x
  3. Step 3: Cross multiply
    8,665x = 11,957.78 × 4,939.08
  4. Step 4: Simplify right side
    8,665x = 59,060,432.04
  5. Step 5: Solve for x
    x = 59,060,432.04/8,665
  6. Step 6: Final answer
    x = 6,815.98

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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.