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Finding the Fourth Proportional to 1,426.12, 1,966.49 and 927.83

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Solution

The fourth proportional to 1,426.12, 1,966.49 and 927.83 is: 1,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.12 : 1,966.49 = 927.83 : x
  2. Step 2: Convert to fraction form
    1,426.12/1,966.49 = 927.83/x
  3. Step 3: Cross multiply
    1,426.12x = 1,966.49 × 927.83
  4. Step 4: Simplify right side
    1,426.12x = 1,824,568.42
  5. Step 5: Solve for x
    x = 1,824,568.42/1,426.12
  6. Step 6: Final answer
    x = 1,279.40

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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.