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Finding the Fourth Proportional to 28,470.31, 42,710.94 and 9,753.24

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Solution

The fourth proportional to 28,470.31, 42,710.94 and 9,753.24 is: 14,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,470.31 : 42,710.94 = 9,753.24 : x
  2. Step 2: Convert to fraction form
    28,470.31/42,710.94 = 9,753.24/x
  3. Step 3: Cross multiply
    28,470.31x = 42,710.94 × 9,753.24
  4. Step 4: Simplify right side
    28,470.31x = 416,570,048.45
  5. Step 5: Solve for x
    x = 416,570,048.45/28,470.31
  6. Step 6: Final answer
    x = 14,631.74

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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.