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Finding the Fourth Proportional to 8,964.43, 13,428.15 and 5,255.40

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Solution

The fourth proportional to 8,964.43, 13,428.15 and 5,255.40 is: 7,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.43 : 13,428.15 = 5,255.40 : x
  2. Step 2: Convert to fraction form
    8,964.43/13,428.15 = 5,255.40/x
  3. Step 3: Cross multiply
    8,964.43x = 13,428.15 × 5,255.40
  4. Step 4: Simplify right side
    8,964.43x = 70,570,299.51
  5. Step 5: Solve for x
    x = 70,570,299.51/8,964.43
  6. Step 6: Final answer
    x = 7,872.26

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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.