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Finding the Fourth Proportional to 2,854.77, 4,256.15 and 2,782.95

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Solution

The fourth proportional to 2,854.77, 4,256.15 and 2,782.95 is: 4,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.77 : 4,256.15 = 2,782.95 : x
  2. Step 2: Convert to fraction form
    2,854.77/4,256.15 = 2,782.95/x
  3. Step 3: Cross multiply
    2,854.77x = 4,256.15 × 2,782.95
  4. Step 4: Simplify right side
    2,854.77x = 11,844,652.64
  5. Step 5: Solve for x
    x = 11,844,652.64/2,854.77
  6. Step 6: Final answer
    x = 4,149.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.