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Finding the Fourth Proportional to 3,802.80, 5,702.85 and 1,337.70

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Solution

The fourth proportional to 3,802.80, 5,702.85 and 1,337.70 is: 2,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.80 : 5,702.85 = 1,337.70 : x
  2. Step 2: Convert to fraction form
    3,802.80/5,702.85 = 1,337.70/x
  3. Step 3: Cross multiply
    3,802.80x = 5,702.85 × 1,337.70
  4. Step 4: Simplify right side
    3,802.80x = 7,628,702.45
  5. Step 5: Solve for x
    x = 7,628,702.45/3,802.80
  6. Step 6: Final answer
    x = 2,006.08

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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.