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Finding the Fourth Proportional to 2,170.14, 3,254.69 and 853.84

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Solution

The fourth proportional to 2,170.14, 3,254.69 and 853.84 is: 1,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.14 : 3,254.69 = 853.84 : x
  2. Step 2: Convert to fraction form
    2,170.14/3,254.69 = 853.84/x
  3. Step 3: Cross multiply
    2,170.14x = 3,254.69 × 853.84
  4. Step 4: Simplify right side
    2,170.14x = 2,778,990.71
  5. Step 5: Solve for x
    x = 2,778,990.71/2,170.14
  6. Step 6: Final answer
    x = 1,280.56

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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.