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Finding the Fourth Proportional to 13,703.76, 20,558.88 and 7,129.44

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Solution

The fourth proportional to 13,703.76, 20,558.88 and 7,129.44 is: 10,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.76 : 20,558.88 = 7,129.44 : x
  2. Step 2: Convert to fraction form
    13,703.76/20,558.88 = 7,129.44/x
  3. Step 3: Cross multiply
    13,703.76x = 20,558.88 × 7,129.44
  4. Step 4: Simplify right side
    13,703.76x = 146,573,301.43
  5. Step 5: Solve for x
    x = 146,573,301.43/13,703.76
  6. Step 6: Final answer
    x = 10,695.85

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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.