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Finding the Fourth Proportional to 12,547.89, 18,825 and 8,857.32

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Solution

The fourth proportional to 12,547.89, 18,825 and 8,857.32 is: 13,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.89 : 18,825 = 8,857.32 : x
  2. Step 2: Convert to fraction form
    12,547.89/18,825 = 8,857.32/x
  3. Step 3: Cross multiply
    12,547.89x = 18,825 × 8,857.32
  4. Step 4: Simplify right side
    12,547.89x = 166,739,049
  5. Step 5: Solve for x
    x = 166,739,049/12,547.89
  6. Step 6: Final answer
    x = 13,288.21

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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.