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Finding the Fourth Proportional to 1,502.21, 2,250.12 and 721.06

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Solution

The fourth proportional to 1,502.21, 2,250.12 and 721.06 is: 1,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.21 : 2,250.12 = 721.06 : x
  2. Step 2: Convert to fraction form
    1,502.21/2,250.12 = 721.06/x
  3. Step 3: Cross multiply
    1,502.21x = 2,250.12 × 721.06
  4. Step 4: Simplify right side
    1,502.21x = 1,622,471.53
  5. Step 5: Solve for x
    x = 1,622,471.53/1,502.21
  6. Step 6: Final answer
    x = 1,080.06

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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.