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Finding the Fourth Proportional to 12,547.43, 18,824.31 and 8,856.87

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Solution

The fourth proportional to 12,547.43, 18,824.31 and 8,856.87 is: 13,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.43 : 18,824.31 = 8,856.87 : x
  2. Step 2: Convert to fraction form
    12,547.43/18,824.31 = 8,856.87/x
  3. Step 3: Cross multiply
    12,547.43x = 18,824.31 × 8,856.87
  4. Step 4: Simplify right side
    12,547.43x = 166,724,466.51
  5. Step 5: Solve for x
    x = 166,724,466.51/12,547.43
  6. Step 6: Final answer
    x = 13,287.54

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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.