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Finding the Fourth Proportional to 18,857.76, 28,287 and 5,710.08

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Solution

The fourth proportional to 18,857.76, 28,287 and 5,710.08 is: 8,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,857.76 : 28,287 = 5,710.08 : x
  2. Step 2: Convert to fraction form
    18,857.76/28,287 = 5,710.08/x
  3. Step 3: Cross multiply
    18,857.76x = 28,287 × 5,710.08
  4. Step 4: Simplify right side
    18,857.76x = 161,521,032.96
  5. Step 5: Solve for x
    x = 161,521,032.96/18,857.76
  6. Step 6: Final answer
    x = 8,565.23

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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.