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Finding the Fourth Proportional to 1,811.39, 2,717.60 and 934.53

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Solution

The fourth proportional to 1,811.39, 2,717.60 and 934.53 is: 1,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.39 : 2,717.60 = 934.53 : x
  2. Step 2: Convert to fraction form
    1,811.39/2,717.60 = 934.53/x
  3. Step 3: Cross multiply
    1,811.39x = 2,717.60 × 934.53
  4. Step 4: Simplify right side
    1,811.39x = 2,539,678.73
  5. Step 5: Solve for x
    x = 2,539,678.73/1,811.39
  6. Step 6: Final answer
    x = 1,402.06

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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.