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Finding the Fourth Proportional to 5,312.70, 7,967.02 and 1,613.70

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Solution

The fourth proportional to 5,312.70, 7,967.02 and 1,613.70 is: 2,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.70 : 7,967.02 = 1,613.70 : x
  2. Step 2: Convert to fraction form
    5,312.70/7,967.02 = 1,613.70/x
  3. Step 3: Cross multiply
    5,312.70x = 7,967.02 × 1,613.70
  4. Step 4: Simplify right side
    5,312.70x = 12,856,380.17
  5. Step 5: Solve for x
    x = 12,856,380.17/5,312.70
  6. Step 6: Final answer
    x = 2,419.93

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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.