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Finding the Fourth Proportional to 3,478.64, 4,800.99 and 2,219.28

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Solution

The fourth proportional to 3,478.64, 4,800.99 and 2,219.28 is: 3,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.64 : 4,800.99 = 2,219.28 : x
  2. Step 2: Convert to fraction form
    3,478.64/4,800.99 = 2,219.28/x
  3. Step 3: Cross multiply
    3,478.64x = 4,800.99 × 2,219.28
  4. Step 4: Simplify right side
    3,478.64x = 10,654,741.09
  5. Step 5: Solve for x
    x = 10,654,741.09/3,478.64
  6. Step 6: Final answer
    x = 3,062.91

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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.