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Finding the Fourth Proportional to 5,157.95, 7,728.31 and 4,965.98

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Solution

The fourth proportional to 5,157.95, 7,728.31 and 4,965.98 is: 7,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.95 : 7,728.31 = 4,965.98 : x
  2. Step 2: Convert to fraction form
    5,157.95/7,728.31 = 4,965.98/x
  3. Step 3: Cross multiply
    5,157.95x = 7,728.31 × 4,965.98
  4. Step 4: Simplify right side
    5,157.95x = 38,378,600.46
  5. Step 5: Solve for x
    x = 38,378,600.46/5,157.95
  6. Step 6: Final answer
    x = 7,440.68

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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.