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Finding the Fourth Proportional to 8,965.52, 13,445.02 and 3,420.40

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Solution

The fourth proportional to 8,965.52, 13,445.02 and 3,420.40 is: 5,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.52 : 13,445.02 = 3,420.40 : x
  2. Step 2: Convert to fraction form
    8,965.52/13,445.02 = 3,420.40/x
  3. Step 3: Cross multiply
    8,965.52x = 13,445.02 × 3,420.40
  4. Step 4: Simplify right side
    8,965.52x = 45,987,346.41
  5. Step 5: Solve for x
    x = 45,987,346.41/8,965.52
  6. Step 6: Final answer
    x = 5,129.36

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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.