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Finding the Fourth Proportional to 8,948.66, 13,420.25 and 4,266.20

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Solution

The fourth proportional to 8,948.66, 13,420.25 and 4,266.20 is: 6,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.66 : 13,420.25 = 4,266.20 : x
  2. Step 2: Convert to fraction form
    8,948.66/13,420.25 = 4,266.20/x
  3. Step 3: Cross multiply
    8,948.66x = 13,420.25 × 4,266.20
  4. Step 4: Simplify right side
    8,948.66x = 57,253,470.55
  5. Step 5: Solve for x
    x = 57,253,470.55/8,948.66
  6. Step 6: Final answer
    x = 6,397.99

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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.