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Finding the Fourth Proportional to 2,537.85, 3,807.02 and 979.15

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Solution

The fourth proportional to 2,537.85, 3,807.02 and 979.15 is: 1,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.85 : 3,807.02 = 979.15 : x
  2. Step 2: Convert to fraction form
    2,537.85/3,807.02 = 979.15/x
  3. Step 3: Cross multiply
    2,537.85x = 3,807.02 × 979.15
  4. Step 4: Simplify right side
    2,537.85x = 3,727,643.63
  5. Step 5: Solve for x
    x = 3,727,643.63/2,537.85
  6. Step 6: Final answer
    x = 1,468.82

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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.