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Finding the Fourth Proportional to 2,101.62, 2,898.92 and 1,261.76

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Solution

The fourth proportional to 2,101.62, 2,898.92 and 1,261.76 is: 1,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.62 : 2,898.92 = 1,261.76 : x
  2. Step 2: Convert to fraction form
    2,101.62/2,898.92 = 1,261.76/x
  3. Step 3: Cross multiply
    2,101.62x = 2,898.92 × 1,261.76
  4. Step 4: Simplify right side
    2,101.62x = 3,657,741.30
  5. Step 5: Solve for x
    x = 3,657,741.30/2,101.62
  6. Step 6: Final answer
    x = 1,740.44

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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.