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Finding the Fourth Proportional to 2,641.47, 3,641.91 and 1,695.59

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Solution

The fourth proportional to 2,641.47, 3,641.91 and 1,695.59 is: 2,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.47 : 3,641.91 = 1,695.59 : x
  2. Step 2: Convert to fraction form
    2,641.47/3,641.91 = 1,695.59/x
  3. Step 3: Cross multiply
    2,641.47x = 3,641.91 × 1,695.59
  4. Step 4: Simplify right side
    2,641.47x = 6,175,186.18
  5. Step 5: Solve for x
    x = 6,175,186.18/2,641.47
  6. Step 6: Final answer
    x = 2,337.78

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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.