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Finding the Fourth Proportional to 12,547.10, 18,787.76 and 8,829.20

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Solution

The fourth proportional to 12,547.10, 18,787.76 and 8,829.20 is: 13,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.10 : 18,787.76 = 8,829.20 : x
  2. Step 2: Convert to fraction form
    12,547.10/18,787.76 = 8,829.20/x
  3. Step 3: Cross multiply
    12,547.10x = 18,787.76 × 8,829.20
  4. Step 4: Simplify right side
    12,547.10x = 165,880,818.73
  5. Step 5: Solve for x
    x = 165,880,818.73/12,547.10
  6. Step 6: Final answer
    x = 13,220.66

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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.