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Finding the Fourth Proportional to 1,871.02, 2,582.03 and 1,031.75

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Solution

The fourth proportional to 1,871.02, 2,582.03 and 1,031.75 is: 1,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.02 : 2,582.03 = 1,031.75 : x
  2. Step 2: Convert to fraction form
    1,871.02/2,582.03 = 1,031.75/x
  3. Step 3: Cross multiply
    1,871.02x = 2,582.03 × 1,031.75
  4. Step 4: Simplify right side
    1,871.02x = 2,664,010.75
  5. Step 5: Solve for x
    x = 2,664,010.75/1,871.02
  6. Step 6: Final answer
    x = 1,423.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.