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Finding the Fourth Proportional to 2,695.68, 4,042.68 and 1,771.20

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Solution

The fourth proportional to 2,695.68, 4,042.68 and 1,771.20 is: 2,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.68 : 4,042.68 = 1,771.20 : x
  2. Step 2: Convert to fraction form
    2,695.68/4,042.68 = 1,771.20/x
  3. Step 3: Cross multiply
    2,695.68x = 4,042.68 × 1,771.20
  4. Step 4: Simplify right side
    2,695.68x = 7,160,394.82
  5. Step 5: Solve for x
    x = 7,160,394.82/2,695.68
  6. Step 6: Final answer
    x = 2,656.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.