Home / 2,077.40-3,116.09-923.15

Finding the Fourth Proportional to 2,077.40, 3,116.09 and 923.15

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Solution

The fourth proportional to 2,077.40, 3,116.09 and 923.15 is: 1,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.40 : 3,116.09 = 923.15 : x
  2. Step 2: Convert to fraction form
    2,077.40/3,116.09 = 923.15/x
  3. Step 3: Cross multiply
    2,077.40x = 3,116.09 × 923.15
  4. Step 4: Simplify right side
    2,077.40x = 2,876,613.87
  5. Step 5: Solve for x
    x = 2,876,613.87/2,077.40
  6. Step 6: Final answer
    x = 1,384.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.