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Finding the Fourth Proportional to 1,472.34, 2,031.75 and 842.88

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Solution

The fourth proportional to 1,472.34, 2,031.75 and 842.88 is: 1,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.34 : 2,031.75 = 842.88 : x
  2. Step 2: Convert to fraction form
    1,472.34/2,031.75 = 842.88/x
  3. Step 3: Cross multiply
    1,472.34x = 2,031.75 × 842.88
  4. Step 4: Simplify right side
    1,472.34x = 1,712,521.44
  5. Step 5: Solve for x
    x = 1,712,521.44/1,472.34
  6. Step 6: Final answer
    x = 1,163.13

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1.5x scale

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.