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Finding the Fourth Proportional to 1,920.87, 2,650.68 and 1,134.63

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Solution

The fourth proportional to 1,920.87, 2,650.68 and 1,134.63 is: 1,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.87 : 2,650.68 = 1,134.63 : x
  2. Step 2: Convert to fraction form
    1,920.87/2,650.68 = 1,134.63/x
  3. Step 3: Cross multiply
    1,920.87x = 2,650.68 × 1,134.63
  4. Step 4: Simplify right side
    1,920.87x = 3,007,541.05
  5. Step 5: Solve for x
    x = 3,007,541.05/1,920.87
  6. Step 6: Final answer
    x = 1,565.72

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1.5x scale

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.