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Finding the Fourth Proportional to 1,678.13, 2,315.88 and 932.14

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Solution

The fourth proportional to 1,678.13, 2,315.88 and 932.14 is: 1,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.13 : 2,315.88 = 932.14 : x
  2. Step 2: Convert to fraction form
    1,678.13/2,315.88 = 932.14/x
  3. Step 3: Cross multiply
    1,678.13x = 2,315.88 × 932.14
  4. Step 4: Simplify right side
    1,678.13x = 2,158,722.05
  5. Step 5: Solve for x
    x = 2,158,722.05/1,678.13
  6. Step 6: Final answer
    x = 1,286.39

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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.