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Finding the Fourth Proportional to 1,909.80, 2,865.72 and 986.13

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Solution

The fourth proportional to 1,909.80, 2,865.72 and 986.13 is: 1,479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.80 : 2,865.72 = 986.13 : x
  2. Step 2: Convert to fraction form
    1,909.80/2,865.72 = 986.13/x
  3. Step 3: Cross multiply
    1,909.80x = 2,865.72 × 986.13
  4. Step 4: Simplify right side
    1,909.80x = 2,825,972.46
  5. Step 5: Solve for x
    x = 2,825,972.46/1,909.80
  6. Step 6: Final answer
    x = 1,479.72

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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.