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Finding the Fourth Proportional to 3,750.76, 5,626.14 and 977.43

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Solution

The fourth proportional to 3,750.76, 5,626.14 and 977.43 is: 1,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.76 : 5,626.14 = 977.43 : x
  2. Step 2: Convert to fraction form
    3,750.76/5,626.14 = 977.43/x
  3. Step 3: Cross multiply
    3,750.76x = 5,626.14 × 977.43
  4. Step 4: Simplify right side
    3,750.76x = 5,499,140.59
  5. Step 5: Solve for x
    x = 5,499,140.59/3,750.76
  6. Step 6: Final answer
    x = 1,466.14

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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.