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Finding the Fourth Proportional to 29,971.20, 44,956.80 and 28,513.20

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Solution

The fourth proportional to 29,971.20, 44,956.80 and 28,513.20 is: 42,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971.20 : 44,956.80 = 28,513.20 : x
  2. Step 2: Convert to fraction form
    29,971.20/44,956.80 = 28,513.20/x
  3. Step 3: Cross multiply
    29,971.20x = 44,956.80 × 28,513.20
  4. Step 4: Simplify right side
    29,971.20x = 1,281,862,229.76
  5. Step 5: Solve for x
    x = 1,281,862,229.76/29,971.20
  6. Step 6: Final answer
    x = 42,769.80

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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.