Home / 1,678.36-2,316.14-932.32

Finding the Fourth Proportional to 1,678.36, 2,316.14 and 932.32

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Solution

The fourth proportional to 1,678.36, 2,316.14 and 932.32 is: 1,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.36 : 2,316.14 = 932.32 : x
  2. Step 2: Convert to fraction form
    1,678.36/2,316.14 = 932.32/x
  3. Step 3: Cross multiply
    1,678.36x = 2,316.14 × 932.32
  4. Step 4: Simplify right side
    1,678.36x = 2,159,378.98
  5. Step 5: Solve for x
    x = 2,159,378.98/1,678.36
  6. Step 6: Final answer
    x = 1,286.60

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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.