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Finding the Fourth Proportional to 2,074.60, 3,111.90 and 981.10

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Solution

The fourth proportional to 2,074.60, 3,111.90 and 981.10 is: 1,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.60 : 3,111.90 = 981.10 : x
  2. Step 2: Convert to fraction form
    2,074.60/3,111.90 = 981.10/x
  3. Step 3: Cross multiply
    2,074.60x = 3,111.90 × 981.10
  4. Step 4: Simplify right side
    2,074.60x = 3,053,085.09
  5. Step 5: Solve for x
    x = 3,053,085.09/2,074.60
  6. Step 6: Final answer
    x = 1,471.65

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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.