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Finding the Fourth Proportional to 5,158.42, 7,738.80 and 1,695.70

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Solution

The fourth proportional to 5,158.42, 7,738.80 and 1,695.70 is: 2,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.42 : 7,738.80 = 1,695.70 : x
  2. Step 2: Convert to fraction form
    5,158.42/7,738.80 = 1,695.70/x
  3. Step 3: Cross multiply
    5,158.42x = 7,738.80 × 1,695.70
  4. Step 4: Simplify right side
    5,158.42x = 13,122,683.16
  5. Step 5: Solve for x
    x = 13,122,683.16/5,158.42
  6. Step 6: Final answer
    x = 2,543.93

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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.