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Finding the Fourth Proportional to 1,954.80, 2,691.90 and 1,656.45

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Solution

The fourth proportional to 1,954.80, 2,691.90 and 1,656.45 is: 2,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.80 : 2,691.90 = 1,656.45 : x
  2. Step 2: Convert to fraction form
    1,954.80/2,691.90 = 1,656.45/x
  3. Step 3: Cross multiply
    1,954.80x = 2,691.90 × 1,656.45
  4. Step 4: Simplify right side
    1,954.80x = 4,458,997.76
  5. Step 5: Solve for x
    x = 4,458,997.76/1,954.80
  6. Step 6: Final answer
    x = 2,281.05

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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.