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Finding the Fourth Proportional to 2,862.84, 4,289.21 and 2,507.48

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Solution

The fourth proportional to 2,862.84, 4,289.21 and 2,507.48 is: 3,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.84 : 4,289.21 = 2,507.48 : x
  2. Step 2: Convert to fraction form
    2,862.84/4,289.21 = 2,507.48/x
  3. Step 3: Cross multiply
    2,862.84x = 4,289.21 × 2,507.48
  4. Step 4: Simplify right side
    2,862.84x = 10,755,108.29
  5. Step 5: Solve for x
    x = 10,755,108.29/2,862.84
  6. Step 6: Final answer
    x = 3,756.80

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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.