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Finding the Fourth Proportional to 3,750.71, 5,626.13 and 977.21

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Solution

The fourth proportional to 3,750.71, 5,626.13 and 977.21 is: 1,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.71 : 5,626.13 = 977.21 : x
  2. Step 2: Convert to fraction form
    3,750.71/5,626.13 = 977.21/x
  3. Step 3: Cross multiply
    3,750.71x = 5,626.13 × 977.21
  4. Step 4: Simplify right side
    3,750.71x = 5,497,898.58
  5. Step 5: Solve for x
    x = 5,497,898.58/3,750.71
  6. Step 6: Final answer
    x = 1,465.83

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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.