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Finding the Fourth Proportional to 3,761.87, 5,636.61 and 1,678.74

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Solution

The fourth proportional to 3,761.87, 5,636.61 and 1,678.74 is: 2,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.87 : 5,636.61 = 1,678.74 : x
  2. Step 2: Convert to fraction form
    3,761.87/5,636.61 = 1,678.74/x
  3. Step 3: Cross multiply
    3,761.87x = 5,636.61 × 1,678.74
  4. Step 4: Simplify right side
    3,761.87x = 9,462,402.67
  5. Step 5: Solve for x
    x = 9,462,402.67/3,761.87
  6. Step 6: Final answer
    x = 2,515.35

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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.