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Finding the Fourth Proportional to 3,750.61, 5,626.13 and 977.29

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Solution

The fourth proportional to 3,750.61, 5,626.13 and 977.29 is: 1,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.61 : 5,626.13 = 977.29 : x
  2. Step 2: Convert to fraction form
    3,750.61/5,626.13 = 977.29/x
  3. Step 3: Cross multiply
    3,750.61x = 5,626.13 × 977.29
  4. Step 4: Simplify right side
    3,750.61x = 5,498,360.59
  5. Step 5: Solve for x
    x = 5,498,360.59/3,750.61
  6. Step 6: Final answer
    x = 1,465.99

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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.