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Finding the Fourth Proportional to 2,742.68, 3,783.98 and 1,562.92

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Solution

The fourth proportional to 2,742.68, 3,783.98 and 1,562.92 is: 2,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.68 : 3,783.98 = 1,562.92 : x
  2. Step 2: Convert to fraction form
    2,742.68/3,783.98 = 1,562.92/x
  3. Step 3: Cross multiply
    2,742.68x = 3,783.98 × 1,562.92
  4. Step 4: Simplify right side
    2,742.68x = 5,914,058.02
  5. Step 5: Solve for x
    x = 5,914,058.02/2,742.68
  6. Step 6: Final answer
    x = 2,156.31

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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.