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Finding the Fourth Proportional to 3,750.43, 5,625.84 and 977.11

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Solution

The fourth proportional to 3,750.43, 5,625.84 and 977.11 is: 1,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.43 : 5,625.84 = 977.11 : x
  2. Step 2: Convert to fraction form
    3,750.43/5,625.84 = 977.11/x
  3. Step 3: Cross multiply
    3,750.43x = 5,625.84 × 977.11
  4. Step 4: Simplify right side
    3,750.43x = 5,497,064.52
  5. Step 5: Solve for x
    x = 5,497,064.52/3,750.43
  6. Step 6: Final answer
    x = 1,465.72

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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.