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Finding the Fourth Proportional to 3,158.61, 4,731.30 and 2,538.96

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Solution

The fourth proportional to 3,158.61, 4,731.30 and 2,538.96 is: 3,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.61 : 4,731.30 = 2,538.96 : x
  2. Step 2: Convert to fraction form
    3,158.61/4,731.30 = 2,538.96/x
  3. Step 3: Cross multiply
    3,158.61x = 4,731.30 × 2,538.96
  4. Step 4: Simplify right side
    3,158.61x = 12,012,581.45
  5. Step 5: Solve for x
    x = 12,012,581.45/3,158.61
  6. Step 6: Final answer
    x = 3,803.12

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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.