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Finding the Fourth Proportional to 2,680.58, 3,700.13 and 1,561.97

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Solution

The fourth proportional to 2,680.58, 3,700.13 and 1,561.97 is: 2,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.58 : 3,700.13 = 1,561.97 : x
  2. Step 2: Convert to fraction form
    2,680.58/3,700.13 = 1,561.97/x
  3. Step 3: Cross multiply
    2,680.58x = 3,700.13 × 1,561.97
  4. Step 4: Simplify right side
    2,680.58x = 5,779,465.75
  5. Step 5: Solve for x
    x = 5,779,465.75/2,680.58
  6. Step 6: Final answer
    x = 2,156.05

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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.