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Finding the Fourth Proportional to 20,714, 28,585.38 and 11,282.57

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Solution

The fourth proportional to 20,714, 28,585.38 and 11,282.57 is: 15,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714 : 28,585.38 = 11,282.57 : x
  2. Step 2: Convert to fraction form
    20,714/28,585.38 = 11,282.57/x
  3. Step 3: Cross multiply
    20,714x = 28,585.38 × 11,282.57
  4. Step 4: Simplify right side
    20,714x = 322,516,550.83
  5. Step 5: Solve for x
    x = 322,516,550.83/20,714
  6. Step 6: Final answer
    x = 15,569.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.