Home / 1,678.09-2,315.78-932.17

Finding the Fourth Proportional to 1,678.09, 2,315.78 and 932.17

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Solution

The fourth proportional to 1,678.09, 2,315.78 and 932.17 is: 1,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.09 : 2,315.78 = 932.17 : x
  2. Step 2: Convert to fraction form
    1,678.09/2,315.78 = 932.17/x
  3. Step 3: Cross multiply
    1,678.09x = 2,315.78 × 932.17
  4. Step 4: Simplify right side
    1,678.09x = 2,158,700.64
  5. Step 5: Solve for x
    x = 2,158,700.64/1,678.09
  6. Step 6: Final answer
    x = 1,286.40

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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.