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Finding the Fourth Proportional to 3,677.80, 5,511.90 and 1,703.20

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Solution

The fourth proportional to 3,677.80, 5,511.90 and 1,703.20 is: 2,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.80 : 5,511.90 = 1,703.20 : x
  2. Step 2: Convert to fraction form
    3,677.80/5,511.90 = 1,703.20/x
  3. Step 3: Cross multiply
    3,677.80x = 5,511.90 × 1,703.20
  4. Step 4: Simplify right side
    3,677.80x = 9,387,868.08
  5. Step 5: Solve for x
    x = 9,387,868.08/3,677.80
  6. Step 6: Final answer
    x = 2,552.58

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1.5x scale

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.