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Finding the Fourth Proportional to 1,909.67, 2,864.59 and 611.15

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Solution

The fourth proportional to 1,909.67, 2,864.59 and 611.15 is: 916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.67 : 2,864.59 = 611.15 : x
  2. Step 2: Convert to fraction form
    1,909.67/2,864.59 = 611.15/x
  3. Step 3: Cross multiply
    1,909.67x = 2,864.59 × 611.15
  4. Step 4: Simplify right side
    1,909.67x = 1,750,678.33
  5. Step 5: Solve for x
    x = 1,750,678.33/1,909.67
  6. Step 6: Final answer
    x = 916.75

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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.