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Finding the Fourth Proportional to 12,585.20, 18,877.80 and 10,857.20

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Solution

The fourth proportional to 12,585.20, 18,877.80 and 10,857.20 is: 16,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.20 : 18,877.80 = 10,857.20 : x
  2. Step 2: Convert to fraction form
    12,585.20/18,877.80 = 10,857.20/x
  3. Step 3: Cross multiply
    12,585.20x = 18,877.80 × 10,857.20
  4. Step 4: Simplify right side
    12,585.20x = 204,960,050.16
  5. Step 5: Solve for x
    x = 204,960,050.16/12,585.20
  6. Step 6: Final answer
    x = 16,285.80

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1.5x scale

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.