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Finding the Fourth Proportional to 1,678.92, 2,316.86 and 932.86

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Solution

The fourth proportional to 1,678.92, 2,316.86 and 932.86 is: 1,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.92 : 2,316.86 = 932.86 : x
  2. Step 2: Convert to fraction form
    1,678.92/2,316.86 = 932.86/x
  3. Step 3: Cross multiply
    1,678.92x = 2,316.86 × 932.86
  4. Step 4: Simplify right side
    1,678.92x = 2,161,306.02
  5. Step 5: Solve for x
    x = 2,161,306.02/1,678.92
  6. Step 6: Final answer
    x = 1,287.32

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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.