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Finding the Fourth Proportional to 2,695.61, 3,722.40 and 2,031.32

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Solution

The fourth proportional to 2,695.61, 3,722.40 and 2,031.32 is: 2,805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.61 : 3,722.40 = 2,031.32 : x
  2. Step 2: Convert to fraction form
    2,695.61/3,722.40 = 2,031.32/x
  3. Step 3: Cross multiply
    2,695.61x = 3,722.40 × 2,031.32
  4. Step 4: Simplify right side
    2,695.61x = 7,561,366.96
  5. Step 5: Solve for x
    x = 7,561,366.96/2,695.61
  6. Step 6: Final answer
    x = 2,805.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.