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Finding the Fourth Proportional to 28,474.80, 42,707.81 and 9,499.77

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Solution

The fourth proportional to 28,474.80, 42,707.81 and 9,499.77 is: 14,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,474.80 : 42,707.81 = 9,499.77 : x
  2. Step 2: Convert to fraction form
    28,474.80/42,707.81 = 9,499.77/x
  3. Step 3: Cross multiply
    28,474.80x = 42,707.81 × 9,499.77
  4. Step 4: Simplify right side
    28,474.80x = 405,714,324.70
  5. Step 5: Solve for x
    x = 405,714,324.70/28,474.80
  6. Step 6: Final answer
    x = 14,248.19

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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.