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Finding the Fourth Proportional to 28,234.60, 42,341.14 and 9,509.61

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Solution

The fourth proportional to 28,234.60, 42,341.14 and 9,509.61 is: 14,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.60 : 42,341.14 = 9,509.61 : x
  2. Step 2: Convert to fraction form
    28,234.60/42,341.14 = 9,509.61/x
  3. Step 3: Cross multiply
    28,234.60x = 42,341.14 × 9,509.61
  4. Step 4: Simplify right side
    28,234.60x = 402,647,728.36
  5. Step 5: Solve for x
    x = 402,647,728.36/28,234.60
  6. Step 6: Final answer
    x = 14,260.79

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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.