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Finding the Fourth Proportional to 4,321.69, 6,482.49 and 1,981.03

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Solution

The fourth proportional to 4,321.69, 6,482.49 and 1,981.03 is: 2,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.69 : 6,482.49 = 1,981.03 : x
  2. Step 2: Convert to fraction form
    4,321.69/6,482.49 = 1,981.03/x
  3. Step 3: Cross multiply
    4,321.69x = 6,482.49 × 1,981.03
  4. Step 4: Simplify right side
    4,321.69x = 12,841,964.85
  5. Step 5: Solve for x
    x = 12,841,964.85/4,321.69
  6. Step 6: Final answer
    x = 2,971.52

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Similar ratio
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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.