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Finding the Fourth Proportional to 2,854.27, 4,275.21 and 2,784.58

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Solution

The fourth proportional to 2,854.27, 4,275.21 and 2,784.58 is: 4,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.27 : 4,275.21 = 2,784.58 : x
  2. Step 2: Convert to fraction form
    2,854.27/4,275.21 = 2,784.58/x
  3. Step 3: Cross multiply
    2,854.27x = 4,275.21 × 2,784.58
  4. Step 4: Simplify right side
    2,854.27x = 11,904,664.02
  5. Step 5: Solve for x
    x = 11,904,664.02/2,854.27
  6. Step 6: Final answer
    x = 4,170.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.