Home / 1,118.23-1,542.17-786.53

Finding the Fourth Proportional to 1,118.23, 1,542.17 and 786.53

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Solution

The fourth proportional to 1,118.23, 1,542.17 and 786.53 is: 1,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.23 : 1,542.17 = 786.53 : x
  2. Step 2: Convert to fraction form
    1,118.23/1,542.17 = 786.53/x
  3. Step 3: Cross multiply
    1,118.23x = 1,542.17 × 786.53
  4. Step 4: Simplify right side
    1,118.23x = 1,212,968.79
  5. Step 5: Solve for x
    x = 1,212,968.79/1,118.23
  6. Step 6: Final answer
    x = 1,084.72

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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.