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Finding the Fourth Proportional to 2,599.84, 3,901.10 and 1,987.48

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Solution

The fourth proportional to 2,599.84, 3,901.10 and 1,987.48 is: 2,982.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.84 : 3,901.10 = 1,987.48 : x
  2. Step 2: Convert to fraction form
    2,599.84/3,901.10 = 1,987.48/x
  3. Step 3: Cross multiply
    2,599.84x = 3,901.10 × 1,987.48
  4. Step 4: Simplify right side
    2,599.84x = 7,753,343.69
  5. Step 5: Solve for x
    x = 7,753,343.69/2,599.84
  6. Step 6: Final answer
    x = 2,982.24

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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.