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Finding the Fourth Proportional to 3,807.68, 5,702.88 and 2,073.92

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Solution

The fourth proportional to 3,807.68, 5,702.88 and 2,073.92 is: 3,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.68 : 5,702.88 = 2,073.92 : x
  2. Step 2: Convert to fraction form
    3,807.68/5,702.88 = 2,073.92/x
  3. Step 3: Cross multiply
    3,807.68x = 5,702.88 × 2,073.92
  4. Step 4: Simplify right side
    3,807.68x = 11,827,316.89
  5. Step 5: Solve for x
    x = 11,827,316.89/3,807.68
  6. Step 6: Final answer
    x = 3,106.17

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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.