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Finding the Fourth Proportional to 2,507.23, 3,756.71 and 862.87

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Solution

The fourth proportional to 2,507.23, 3,756.71 and 862.87 is: 1,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.23 : 3,756.71 = 862.87 : x
  2. Step 2: Convert to fraction form
    2,507.23/3,756.71 = 862.87/x
  3. Step 3: Cross multiply
    2,507.23x = 3,756.71 × 862.87
  4. Step 4: Simplify right side
    2,507.23x = 3,241,552.36
  5. Step 5: Solve for x
    x = 3,241,552.36/2,507.23
  6. Step 6: Final answer
    x = 1,292.88

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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.