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Finding the Fourth Proportional to 28,764, 43,146.54 and 7,988.04

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Solution

The fourth proportional to 28,764, 43,146.54 and 7,988.04 is: 11,982.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,764 : 43,146.54 = 7,988.04 : x
  2. Step 2: Convert to fraction form
    28,764/43,146.54 = 7,988.04/x
  3. Step 3: Cross multiply
    28,764x = 43,146.54 × 7,988.04
  4. Step 4: Simplify right side
    28,764x = 344,656,287.38
  5. Step 5: Solve for x
    x = 344,656,287.38/28,764
  6. Step 6: Final answer
    x = 11,982.21

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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.