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Finding the Fourth Proportional to 13,695.76, 20,543.64 and 5,493.52

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Solution

The fourth proportional to 13,695.76, 20,543.64 and 5,493.52 is: 8,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.76 : 20,543.64 = 5,493.52 : x
  2. Step 2: Convert to fraction form
    13,695.76/20,543.64 = 5,493.52/x
  3. Step 3: Cross multiply
    13,695.76x = 20,543.64 × 5,493.52
  4. Step 4: Simplify right side
    13,695.76x = 112,856,897.21
  5. Step 5: Solve for x
    x = 112,856,897.21/13,695.76
  6. Step 6: Final answer
    x = 8,240.28

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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.