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Finding the Fourth Proportional to 8,675.20, 13,022.40 and 4,787.20

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Solution

The fourth proportional to 8,675.20, 13,022.40 and 4,787.20 is: 7,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.20 : 13,022.40 = 4,787.20 : x
  2. Step 2: Convert to fraction form
    8,675.20/13,022.40 = 4,787.20/x
  3. Step 3: Cross multiply
    8,675.20x = 13,022.40 × 4,787.20
  4. Step 4: Simplify right side
    8,675.20x = 62,340,833.28
  5. Step 5: Solve for x
    x = 62,340,833.28/8,675.20
  6. Step 6: Final answer
    x = 7,186.10

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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.