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Finding the Fourth Proportional to 3,807.12, 5,702.97 and 2,981.46

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Solution

The fourth proportional to 3,807.12, 5,702.97 and 2,981.46 is: 4,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.12 : 5,702.97 = 2,981.46 : x
  2. Step 2: Convert to fraction form
    3,807.12/5,702.97 = 2,981.46/x
  3. Step 3: Cross multiply
    3,807.12x = 5,702.97 × 2,981.46
  4. Step 4: Simplify right side
    3,807.12x = 17,003,176.94
  5. Step 5: Solve for x
    x = 17,003,176.94/3,807.12
  6. Step 6: Final answer
    x = 4,466.15

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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.