Home / 1,532.96-2,296.70-983.78

Finding the Fourth Proportional to 1,532.96, 2,296.70 and 983.78

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Solution

The fourth proportional to 1,532.96, 2,296.70 and 983.78 is: 1,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.96 : 2,296.70 = 983.78 : x
  2. Step 2: Convert to fraction form
    1,532.96/2,296.70 = 983.78/x
  3. Step 3: Cross multiply
    1,532.96x = 2,296.70 × 983.78
  4. Step 4: Simplify right side
    1,532.96x = 2,259,447.53
  5. Step 5: Solve for x
    x = 2,259,447.53/1,532.96
  6. Step 6: Final answer
    x = 1,473.91

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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.