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Finding the Fourth Proportional to 7,361.38, 10,158.70 and 4,217.77

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Solution

The fourth proportional to 7,361.38, 10,158.70 and 4,217.77 is: 5,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.38 : 10,158.70 = 4,217.77 : x
  2. Step 2: Convert to fraction form
    7,361.38/10,158.70 = 4,217.77/x
  3. Step 3: Cross multiply
    7,361.38x = 10,158.70 × 4,217.77
  4. Step 4: Simplify right side
    7,361.38x = 42,847,060.10
  5. Step 5: Solve for x
    x = 42,847,060.10/7,361.38
  6. Step 6: Final answer
    x = 5,820.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.