Home / 1,680.49-2,318.13-1,561.70

Finding the Fourth Proportional to 1,680.49, 2,318.13 and 1,561.70

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Solution

The fourth proportional to 1,680.49, 2,318.13 and 1,561.70 is: 2,154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.49 : 2,318.13 = 1,561.70 : x
  2. Step 2: Convert to fraction form
    1,680.49/2,318.13 = 1,561.70/x
  3. Step 3: Cross multiply
    1,680.49x = 2,318.13 × 1,561.70
  4. Step 4: Simplify right side
    1,680.49x = 3,620,223.62
  5. Step 5: Solve for x
    x = 3,620,223.62/1,680.49
  6. Step 6: Final answer
    x = 2,154.27

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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.