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Finding the Fourth Proportional to 1,908.86, 2,864.22 and 934.44

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Solution

The fourth proportional to 1,908.86, 2,864.22 and 934.44 is: 1,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.86 : 2,864.22 = 934.44 : x
  2. Step 2: Convert to fraction form
    1,908.86/2,864.22 = 934.44/x
  3. Step 3: Cross multiply
    1,908.86x = 2,864.22 × 934.44
  4. Step 4: Simplify right side
    1,908.86x = 2,676,441.74
  5. Step 5: Solve for x
    x = 2,676,441.74/1,908.86
  6. Step 6: Final answer
    x = 1,402.12

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1.5x scale

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.