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Finding the Fourth Proportional to 13,656.40, 20,452.20 and 8,407.60

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Solution

The fourth proportional to 13,656.40, 20,452.20 and 8,407.60 is: 12,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,656.40 : 20,452.20 = 8,407.60 : x
  2. Step 2: Convert to fraction form
    13,656.40/20,452.20 = 8,407.60/x
  3. Step 3: Cross multiply
    13,656.40x = 20,452.20 × 8,407.60
  4. Step 4: Simplify right side
    13,656.40x = 171,953,916.72
  5. Step 5: Solve for x
    x = 171,953,916.72/13,656.40
  6. Step 6: Final answer
    x = 12,591.45

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1.5x scale

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.