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Finding the Fourth Proportional to 28,494, 42,751.08 and 20,689.20

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Solution

The fourth proportional to 28,494, 42,751.08 and 20,689.20 is: 31,041.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,494 : 42,751.08 = 20,689.20 : x
  2. Step 2: Convert to fraction form
    28,494/42,751.08 = 20,689.20/x
  3. Step 3: Cross multiply
    28,494x = 42,751.08 × 20,689.20
  4. Step 4: Simplify right side
    28,494x = 884,485,644.34
  5. Step 5: Solve for x
    x = 884,485,644.34/28,494
  6. Step 6: Final answer
    x = 31,041.12

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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.