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Finding the Fourth Proportional to 10,102.80, 15,157.84 and 5,174.76

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Solution

The fourth proportional to 10,102.80, 15,157.84 and 5,174.76 is: 7,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.80 : 15,157.84 = 5,174.76 : x
  2. Step 2: Convert to fraction form
    10,102.80/15,157.84 = 5,174.76/x
  3. Step 3: Cross multiply
    10,102.80x = 15,157.84 × 5,174.76
  4. Step 4: Simplify right side
    10,102.80x = 78,438,184.12
  5. Step 5: Solve for x
    x = 78,438,184.12/10,102.80
  6. Step 6: Final answer
    x = 7,764.00

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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.