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Finding the Fourth Proportional to 3,493.01, 4,819.74 and 1,980.47

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Solution

The fourth proportional to 3,493.01, 4,819.74 and 1,980.47 is: 2,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.01 : 4,819.74 = 1,980.47 : x
  2. Step 2: Convert to fraction form
    3,493.01/4,819.74 = 1,980.47/x
  3. Step 3: Cross multiply
    3,493.01x = 4,819.74 × 1,980.47
  4. Step 4: Simplify right side
    3,493.01x = 9,545,326.38
  5. Step 5: Solve for x
    x = 9,545,326.38/3,493.01
  6. Step 6: Final answer
    x = 2,732.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.