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Finding the Fourth Proportional to 2,641.67, 3,642.18 and 1,695.78

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Solution

The fourth proportional to 2,641.67, 3,642.18 and 1,695.78 is: 2,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.67 : 3,642.18 = 1,695.78 : x
  2. Step 2: Convert to fraction form
    2,641.67/3,642.18 = 1,695.78/x
  3. Step 3: Cross multiply
    2,641.67x = 3,642.18 × 1,695.78
  4. Step 4: Simplify right side
    2,641.67x = 6,176,336.00
  5. Step 5: Solve for x
    x = 6,176,336.00/2,641.67
  6. Step 6: Final answer
    x = 2,338.05

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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.