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Finding the Fourth Proportional to 1,909.76, 2,864.74 and 611.13

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Solution

The fourth proportional to 1,909.76, 2,864.74 and 611.13 is: 916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.76 : 2,864.74 = 611.13 : x
  2. Step 2: Convert to fraction form
    1,909.76/2,864.74 = 611.13/x
  3. Step 3: Cross multiply
    1,909.76x = 2,864.74 × 611.13
  4. Step 4: Simplify right side
    1,909.76x = 1,750,728.56
  5. Step 5: Solve for x
    x = 1,750,728.56/1,909.76
  6. Step 6: Final answer
    x = 916.73

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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.