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Finding the Fourth Proportional to 1,425.20, 1,964.20 and 1,031.54

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Solution

The fourth proportional to 1,425.20, 1,964.20 and 1,031.54 is: 1,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.20 : 1,964.20 = 1,031.54 : x
  2. Step 2: Convert to fraction form
    1,425.20/1,964.20 = 1,031.54/x
  3. Step 3: Cross multiply
    1,425.20x = 1,964.20 × 1,031.54
  4. Step 4: Simplify right side
    1,425.20x = 2,026,140.40
  5. Step 5: Solve for x
    x = 2,026,140.40/1,425.20
  6. Step 6: Final answer
    x = 1,421.66

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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.