Home / 1,531.90-2,297.04-983.53

Finding the Fourth Proportional to 1,531.90, 2,297.04 and 983.53

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Solution

The fourth proportional to 1,531.90, 2,297.04 and 983.53 is: 1,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.90 : 2,297.04 = 983.53 : x
  2. Step 2: Convert to fraction form
    1,531.90/2,297.04 = 983.53/x
  3. Step 3: Cross multiply
    1,531.90x = 2,297.04 × 983.53
  4. Step 4: Simplify right side
    1,531.90x = 2,259,207.75
  5. Step 5: Solve for x
    x = 2,259,207.75/1,531.90
  6. Step 6: Final answer
    x = 1,474.77

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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.