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Finding the Fourth Proportional to 28,765, 43,148.04 and 7,989.04

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Solution

The fourth proportional to 28,765, 43,148.04 and 7,989.04 is: 11,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,765 : 43,148.04 = 7,989.04 : x
  2. Step 2: Convert to fraction form
    28,765/43,148.04 = 7,989.04/x
  3. Step 3: Cross multiply
    28,765x = 43,148.04 × 7,989.04
  4. Step 4: Simplify right side
    28,765x = 344,711,417.48
  5. Step 5: Solve for x
    x = 344,711,417.48/28,765
  6. Step 6: Final answer
    x = 11,983.71

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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.