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Finding the Fourth Proportional to 4,557, 6,286.86 and 2,877.78

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Solution

The fourth proportional to 4,557, 6,286.86 and 2,877.78 is: 3,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557 : 6,286.86 = 2,877.78 : x
  2. Step 2: Convert to fraction form
    4,557/6,286.86 = 2,877.78/x
  3. Step 3: Cross multiply
    4,557x = 6,286.86 × 2,877.78
  4. Step 4: Simplify right side
    4,557x = 18,092,199.97
  5. Step 5: Solve for x
    x = 18,092,199.97/4,557
  6. Step 6: Final answer
    x = 3,970.20

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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.