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Finding the Fourth Proportional to 1,392.92, 1,920.57 and 895.58

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Solution

The fourth proportional to 1,392.92, 1,920.57 and 895.58 is: 1,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.92 : 1,920.57 = 895.58 : x
  2. Step 2: Convert to fraction form
    1,392.92/1,920.57 = 895.58/x
  3. Step 3: Cross multiply
    1,392.92x = 1,920.57 × 895.58
  4. Step 4: Simplify right side
    1,392.92x = 1,720,024.08
  5. Step 5: Solve for x
    x = 1,720,024.08/1,392.92
  6. Step 6: Final answer
    x = 1,234.83

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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.