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Finding the Fourth Proportional to 8,964.52, 13,443.52 and 3,419.40

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Solution

The fourth proportional to 8,964.52, 13,443.52 and 3,419.40 is: 5,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.52 : 13,443.52 = 3,419.40 : x
  2. Step 2: Convert to fraction form
    8,964.52/13,443.52 = 3,419.40/x
  3. Step 3: Cross multiply
    8,964.52x = 13,443.52 × 3,419.40
  4. Step 4: Simplify right side
    8,964.52x = 45,968,772.29
  5. Step 5: Solve for x
    x = 45,968,772.29/8,964.52
  6. Step 6: Final answer
    x = 5,127.86

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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.