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Finding the Fourth Proportional to 28,430.80, 42,616.53 and 9,704.61

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Solution

The fourth proportional to 28,430.80, 42,616.53 and 9,704.61 is: 14,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,430.80 : 42,616.53 = 9,704.61 : x
  2. Step 2: Convert to fraction form
    28,430.80/42,616.53 = 9,704.61/x
  3. Step 3: Cross multiply
    28,430.80x = 42,616.53 × 9,704.61
  4. Step 4: Simplify right side
    28,430.80x = 413,576,803.20
  5. Step 5: Solve for x
    x = 413,576,803.20/28,430.80
  6. Step 6: Final answer
    x = 14,546.79

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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.