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Finding the Fourth Proportional to 2,712.64, 3,742.06 and 1,770.02

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Solution

The fourth proportional to 2,712.64, 3,742.06 and 1,770.02 is: 2,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.64 : 3,742.06 = 1,770.02 : x
  2. Step 2: Convert to fraction form
    2,712.64/3,742.06 = 1,770.02/x
  3. Step 3: Cross multiply
    2,712.64x = 3,742.06 × 1,770.02
  4. Step 4: Simplify right side
    2,712.64x = 6,623,521.04
  5. Step 5: Solve for x
    x = 6,623,521.04/2,712.64
  6. Step 6: Final answer
    x = 2,441.73

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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.