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Finding the Fourth Proportional to 1,920.68, 2,650.74 and 1,134.80

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Solution

The fourth proportional to 1,920.68, 2,650.74 and 1,134.80 is: 1,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.68 : 2,650.74 = 1,134.80 : x
  2. Step 2: Convert to fraction form
    1,920.68/2,650.74 = 1,134.80/x
  3. Step 3: Cross multiply
    1,920.68x = 2,650.74 × 1,134.80
  4. Step 4: Simplify right side
    1,920.68x = 3,008,059.75
  5. Step 5: Solve for x
    x = 3,008,059.75/1,920.68
  6. Step 6: Final answer
    x = 1,566.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.