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Finding the Fourth Proportional to 4,876.16, 6,728.16 and 2,780.24

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Solution

The fourth proportional to 4,876.16, 6,728.16 and 2,780.24 is: 3,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.16 : 6,728.16 = 2,780.24 : x
  2. Step 2: Convert to fraction form
    4,876.16/6,728.16 = 2,780.24/x
  3. Step 3: Cross multiply
    4,876.16x = 6,728.16 × 2,780.24
  4. Step 4: Simplify right side
    4,876.16x = 18,705,899.56
  5. Step 5: Solve for x
    x = 18,705,899.56/4,876.16
  6. Step 6: Final answer
    x = 3,836.19

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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.