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Finding the Fourth Proportional to 2,138.76, 3,187.53 and 2,135.52

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Solution

The fourth proportional to 2,138.76, 3,187.53 and 2,135.52 is: 3,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.76 : 3,187.53 = 2,135.52 : x
  2. Step 2: Convert to fraction form
    2,138.76/3,187.53 = 2,135.52/x
  3. Step 3: Cross multiply
    2,138.76x = 3,187.53 × 2,135.52
  4. Step 4: Simplify right side
    2,138.76x = 6,807,034.07
  5. Step 5: Solve for x
    x = 6,807,034.07/2,138.76
  6. Step 6: Final answer
    x = 3,182.70

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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.