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Finding the Fourth Proportional to 2,854.16, 4,276 and 2,394.88

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Solution

The fourth proportional to 2,854.16, 4,276 and 2,394.88 is: 3,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.16 : 4,276 = 2,394.88 : x
  2. Step 2: Convert to fraction form
    2,854.16/4,276 = 2,394.88/x
  3. Step 3: Cross multiply
    2,854.16x = 4,276 × 2,394.88
  4. Step 4: Simplify right side
    2,854.16x = 10,240,506.88
  5. Step 5: Solve for x
    x = 10,240,506.88/2,854.16
  6. Step 6: Final answer
    x = 3,587.92

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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.