Home / 1,502.30-2,073.24-839.14

Finding the Fourth Proportional to 1,502.30, 2,073.24 and 839.14

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Solution

The fourth proportional to 1,502.30, 2,073.24 and 839.14 is: 1,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.30 : 2,073.24 = 839.14 : x
  2. Step 2: Convert to fraction form
    1,502.30/2,073.24 = 839.14/x
  3. Step 3: Cross multiply
    1,502.30x = 2,073.24 × 839.14
  4. Step 4: Simplify right side
    1,502.30x = 1,739,738.61
  5. Step 5: Solve for x
    x = 1,739,738.61/1,502.30
  6. Step 6: Final answer
    x = 1,158.05

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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.