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Finding the Fourth Proportional to 2,507.77, 3,761.76 and 1,120.87

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Solution

The fourth proportional to 2,507.77, 3,761.76 and 1,120.87 is: 1,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.77 : 3,761.76 = 1,120.87 : x
  2. Step 2: Convert to fraction form
    2,507.77/3,761.76 = 1,120.87/x
  3. Step 3: Cross multiply
    2,507.77x = 3,761.76 × 1,120.87
  4. Step 4: Simplify right side
    2,507.77x = 4,216,443.93
  5. Step 5: Solve for x
    x = 4,216,443.93/2,507.77
  6. Step 6: Final answer
    x = 1,681.35

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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.