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Finding the Fourth Proportional to 10,452.52, 14,428.97 and 6,420

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Solution

The fourth proportional to 10,452.52, 14,428.97 and 6,420 is: 8,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.52 : 14,428.97 = 6,420 : x
  2. Step 2: Convert to fraction form
    10,452.52/14,428.97 = 6,420/x
  3. Step 3: Cross multiply
    10,452.52x = 14,428.97 × 6,420
  4. Step 4: Simplify right side
    10,452.52x = 92,633,987.40
  5. Step 5: Solve for x
    x = 92,633,987.40/10,452.52
  6. Step 6: Final answer
    x = 8,862.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.