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Finding the Fourth Proportional to 1,472.13, 2,031.41 and 874.58

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Solution

The fourth proportional to 1,472.13, 2,031.41 and 874.58 is: 1,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.13 : 2,031.41 = 874.58 : x
  2. Step 2: Convert to fraction form
    1,472.13/2,031.41 = 874.58/x
  3. Step 3: Cross multiply
    1,472.13x = 2,031.41 × 874.58
  4. Step 4: Simplify right side
    1,472.13x = 1,776,630.56
  5. Step 5: Solve for x
    x = 1,776,630.56/1,472.13
  6. Step 6: Final answer
    x = 1,206.84

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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.