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Finding the Fourth Proportional to 2,695.88, 3,718.50 and 1,646.12

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Solution

The fourth proportional to 2,695.88, 3,718.50 and 1,646.12 is: 2,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.88 : 3,718.50 = 1,646.12 : x
  2. Step 2: Convert to fraction form
    2,695.88/3,718.50 = 1,646.12/x
  3. Step 3: Cross multiply
    2,695.88x = 3,718.50 × 1,646.12
  4. Step 4: Simplify right side
    2,695.88x = 6,121,097.22
  5. Step 5: Solve for x
    x = 6,121,097.22/2,695.88
  6. Step 6: Final answer
    x = 2,270.54

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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.