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Finding the Fourth Proportional to 3,478.64, 5,213.28 and 1,285.28

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Solution

The fourth proportional to 3,478.64, 5,213.28 and 1,285.28 is: 1,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.64 : 5,213.28 = 1,285.28 : x
  2. Step 2: Convert to fraction form
    3,478.64/5,213.28 = 1,285.28/x
  3. Step 3: Cross multiply
    3,478.64x = 5,213.28 × 1,285.28
  4. Step 4: Simplify right side
    3,478.64x = 6,700,524.52
  5. Step 5: Solve for x
    x = 6,700,524.52/3,478.64
  6. Step 6: Final answer
    x = 1,926.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.