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Finding the Fourth Proportional to 1,909.98, 2,864.06 and 869.33

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Solution

The fourth proportional to 1,909.98, 2,864.06 and 869.33 is: 1,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.98 : 2,864.06 = 869.33 : x
  2. Step 2: Convert to fraction form
    1,909.98/2,864.06 = 869.33/x
  3. Step 3: Cross multiply
    1,909.98x = 2,864.06 × 869.33
  4. Step 4: Simplify right side
    1,909.98x = 2,489,819.35
  5. Step 5: Solve for x
    x = 2,489,819.35/1,909.98
  6. Step 6: Final answer
    x = 1,303.58

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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.