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Finding the Fourth Proportional to 2,235.95, 3,353.87 and 1,066.78

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Solution

The fourth proportional to 2,235.95, 3,353.87 and 1,066.78 is: 1,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.95 : 3,353.87 = 1,066.78 : x
  2. Step 2: Convert to fraction form
    2,235.95/3,353.87 = 1,066.78/x
  3. Step 3: Cross multiply
    2,235.95x = 3,353.87 × 1,066.78
  4. Step 4: Simplify right side
    2,235.95x = 3,577,841.44
  5. Step 5: Solve for x
    x = 3,577,841.44/2,235.95
  6. Step 6: Final answer
    x = 1,600.14

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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.