Home / 1,424.46-1,966.10-1,031.41

Finding the Fourth Proportional to 1,424.46, 1,966.10 and 1,031.41

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Solution

The fourth proportional to 1,424.46, 1,966.10 and 1,031.41 is: 1,423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.46 : 1,966.10 = 1,031.41 : x
  2. Step 2: Convert to fraction form
    1,424.46/1,966.10 = 1,031.41/x
  3. Step 3: Cross multiply
    1,424.46x = 1,966.10 × 1,031.41
  4. Step 4: Simplify right side
    1,424.46x = 2,027,845.13
  5. Step 5: Solve for x
    x = 2,027,845.13/1,424.46
  6. Step 6: Final answer
    x = 1,423.59

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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.