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Finding the Fourth Proportional to 52,884, 72,982.08 and 30,528

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Solution

The fourth proportional to 52,884, 72,982.08 and 30,528 is: 42,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,884 : 72,982.08 = 30,528 : x
  2. Step 2: Convert to fraction form
    52,884/72,982.08 = 30,528/x
  3. Step 3: Cross multiply
    52,884x = 72,982.08 × 30,528
  4. Step 4: Simplify right side
    52,884x = 2,227,996,938.24
  5. Step 5: Solve for x
    x = 2,227,996,938.24/52,884
  6. Step 6: Final answer
    x = 42,129.89

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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.