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Finding the Fourth Proportional to 2,854.64, 3,931.44 and 2,305.46

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Solution

The fourth proportional to 2,854.64, 3,931.44 and 2,305.46 is: 3,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.64 : 3,931.44 = 2,305.46 : x
  2. Step 2: Convert to fraction form
    2,854.64/3,931.44 = 2,305.46/x
  3. Step 3: Cross multiply
    2,854.64x = 3,931.44 × 2,305.46
  4. Step 4: Simplify right side
    2,854.64x = 9,063,777.66
  5. Step 5: Solve for x
    x = 9,063,777.66/2,854.64
  6. Step 6: Final answer
    x = 3,175.10

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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.