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Finding the Fourth Proportional to 2,560.79, 3,821.19 and 2,284.98

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Solution

The fourth proportional to 2,560.79, 3,821.19 and 2,284.98 is: 3,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.79 : 3,821.19 = 2,284.98 : x
  2. Step 2: Convert to fraction form
    2,560.79/3,821.19 = 2,284.98/x
  3. Step 3: Cross multiply
    2,560.79x = 3,821.19 × 2,284.98
  4. Step 4: Simplify right side
    2,560.79x = 8,731,342.73
  5. Step 5: Solve for x
    x = 8,731,342.73/2,560.79
  6. Step 6: Final answer
    x = 3,409.64

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Half scale
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Double scale
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1.5x scale

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.