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Finding the Fourth Proportional to 12,547.85, 18,824.88 and 8,857.31

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Solution

The fourth proportional to 12,547.85, 18,824.88 and 8,857.31 is: 13,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.85 : 18,824.88 = 8,857.31 : x
  2. Step 2: Convert to fraction form
    12,547.85/18,824.88 = 8,857.31/x
  3. Step 3: Cross multiply
    12,547.85x = 18,824.88 × 8,857.31
  4. Step 4: Simplify right side
    12,547.85x = 166,737,797.87
  5. Step 5: Solve for x
    x = 166,737,797.87/12,547.85
  6. Step 6: Final answer
    x = 13,288.16

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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.