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Finding the Fourth Proportional to 2,049.19, 3,073.78 and 588.34

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Solution

The fourth proportional to 2,049.19, 3,073.78 and 588.34 is: 882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.19 : 3,073.78 = 588.34 : x
  2. Step 2: Convert to fraction form
    2,049.19/3,073.78 = 588.34/x
  3. Step 3: Cross multiply
    2,049.19x = 3,073.78 × 588.34
  4. Step 4: Simplify right side
    2,049.19x = 1,808,424.78
  5. Step 5: Solve for x
    x = 1,808,424.78/2,049.19
  6. Step 6: Final answer
    x = 882.51

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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.