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Finding the Fourth Proportional to 3,158.38, 4,741.62 and 1,988.74

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Solution

The fourth proportional to 3,158.38, 4,741.62 and 1,988.74 is: 2,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.38 : 4,741.62 = 1,988.74 : x
  2. Step 2: Convert to fraction form
    3,158.38/4,741.62 = 1,988.74/x
  3. Step 3: Cross multiply
    3,158.38x = 4,741.62 × 1,988.74
  4. Step 4: Simplify right side
    3,158.38x = 9,429,849.36
  5. Step 5: Solve for x
    x = 9,429,849.36/3,158.38
  6. Step 6: Final answer
    x = 2,985.66

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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.