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Finding the Fourth Proportional to 1,423.11, 1,962.54 and 925.18

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Solution

The fourth proportional to 1,423.11, 1,962.54 and 925.18 is: 1,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.11 : 1,962.54 = 925.18 : x
  2. Step 2: Convert to fraction form
    1,423.11/1,962.54 = 925.18/x
  3. Step 3: Cross multiply
    1,423.11x = 1,962.54 × 925.18
  4. Step 4: Simplify right side
    1,423.11x = 1,815,702.76
  5. Step 5: Solve for x
    x = 1,815,702.76/1,423.11
  6. Step 6: Final answer
    x = 1,275.87

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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.