Home / 1,534.13-2,299.14-839.76

Finding the Fourth Proportional to 1,534.13, 2,299.14 and 839.76

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Solution

The fourth proportional to 1,534.13, 2,299.14 and 839.76 is: 1,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.13 : 2,299.14 = 839.76 : x
  2. Step 2: Convert to fraction form
    1,534.13/2,299.14 = 839.76/x
  3. Step 3: Cross multiply
    1,534.13x = 2,299.14 × 839.76
  4. Step 4: Simplify right side
    1,534.13x = 1,930,725.81
  5. Step 5: Solve for x
    x = 1,930,725.81/1,534.13
  6. Step 6: Final answer
    x = 1,258.52

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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.