Home / 1,347.50-1,859.62-823.57

Finding the Fourth Proportional to 1,347.50, 1,859.62 and 823.57

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Solution

The fourth proportional to 1,347.50, 1,859.62 and 823.57 is: 1,136.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.50 : 1,859.62 = 823.57 : x
  2. Step 2: Convert to fraction form
    1,347.50/1,859.62 = 823.57/x
  3. Step 3: Cross multiply
    1,347.50x = 1,859.62 × 823.57
  4. Step 4: Simplify right side
    1,347.50x = 1,531,517.95
  5. Step 5: Solve for x
    x = 1,531,517.95/1,347.50
  6. Step 6: Final answer
    x = 1,136.56

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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.