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Finding the Fourth Proportional to 13,650.40, 20,461.20 and 5,327.20

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Solution

The fourth proportional to 13,650.40, 20,461.20 and 5,327.20 is: 7,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.40 : 20,461.20 = 5,327.20 : x
  2. Step 2: Convert to fraction form
    13,650.40/20,461.20 = 5,327.20/x
  3. Step 3: Cross multiply
    13,650.40x = 20,461.20 × 5,327.20
  4. Step 4: Simplify right side
    13,650.40x = 109,000,904.64
  5. Step 5: Solve for x
    x = 109,000,904.64/13,650.40
  6. Step 6: Final answer
    x = 7,985.18

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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.