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Finding the Fourth Proportional to 1,909.50, 2,864.32 and 813.11

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Solution

The fourth proportional to 1,909.50, 2,864.32 and 813.11 is: 1,219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.50 : 2,864.32 = 813.11 : x
  2. Step 2: Convert to fraction form
    1,909.50/2,864.32 = 813.11/x
  3. Step 3: Cross multiply
    1,909.50x = 2,864.32 × 813.11
  4. Step 4: Simplify right side
    1,909.50x = 2,329,001.62
  5. Step 5: Solve for x
    x = 2,329,001.62/1,909.50
  6. Step 6: Final answer
    x = 1,219.69

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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.