Home / 1,680.16-2,318.92-971.90

Finding the Fourth Proportional to 1,680.16, 2,318.92 and 971.90

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Solution

The fourth proportional to 1,680.16, 2,318.92 and 971.90 is: 1,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.16 : 2,318.92 = 971.90 : x
  2. Step 2: Convert to fraction form
    1,680.16/2,318.92 = 971.90/x
  3. Step 3: Cross multiply
    1,680.16x = 2,318.92 × 971.90
  4. Step 4: Simplify right side
    1,680.16x = 2,253,753.49
  5. Step 5: Solve for x
    x = 2,253,753.49/1,680.16
  6. Step 6: Final answer
    x = 1,341.40

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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.