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Finding the Fourth Proportional to 2,086.58, 3,130.22 and 853.66

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Solution

The fourth proportional to 2,086.58, 3,130.22 and 853.66 is: 1,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.58 : 3,130.22 = 853.66 : x
  2. Step 2: Convert to fraction form
    2,086.58/3,130.22 = 853.66/x
  3. Step 3: Cross multiply
    2,086.58x = 3,130.22 × 853.66
  4. Step 4: Simplify right side
    2,086.58x = 2,672,143.61
  5. Step 5: Solve for x
    x = 2,672,143.61/2,086.58
  6. Step 6: Final answer
    x = 1,280.63

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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.