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Finding the Fourth Proportional to 28,447.47, 42,658 and 16,604.65

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Solution

The fourth proportional to 28,447.47, 42,658 and 16,604.65 is: 24,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,447.47 : 42,658 = 16,604.65 : x
  2. Step 2: Convert to fraction form
    28,447.47/42,658 = 16,604.65/x
  3. Step 3: Cross multiply
    28,447.47x = 42,658 × 16,604.65
  4. Step 4: Simplify right side
    28,447.47x = 708,321,159.70
  5. Step 5: Solve for x
    x = 708,321,159.70/28,447.47
  6. Step 6: Final answer
    x = 24,899.27

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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.