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Finding the Fourth Proportional to 2,784.76, 3,842.96 and 1,542.76

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Solution

The fourth proportional to 2,784.76, 3,842.96 and 1,542.76 is: 2,129.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.76 : 3,842.96 = 1,542.76 : x
  2. Step 2: Convert to fraction form
    2,784.76/3,842.96 = 1,542.76/x
  3. Step 3: Cross multiply
    2,784.76x = 3,842.96 × 1,542.76
  4. Step 4: Simplify right side
    2,784.76x = 5,928,764.97
  5. Step 5: Solve for x
    x = 5,928,764.97/2,784.76
  6. Step 6: Final answer
    x = 2,129.00

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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.