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Finding the Fourth Proportional to 1,909.14, 2,865.51 and 985.35

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Solution

The fourth proportional to 1,909.14, 2,865.51 and 985.35 is: 1,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.14 : 2,865.51 = 985.35 : x
  2. Step 2: Convert to fraction form
    1,909.14/2,865.51 = 985.35/x
  3. Step 3: Cross multiply
    1,909.14x = 2,865.51 × 985.35
  4. Step 4: Simplify right side
    1,909.14x = 2,823,530.28
  5. Step 5: Solve for x
    x = 2,823,530.28/1,909.14
  6. Step 6: Final answer
    x = 1,478.95

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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.