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Finding the Fourth Proportional to 8,233.78, 12,339.26 and 7,135.42

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Solution

The fourth proportional to 8,233.78, 12,339.26 and 7,135.42 is: 10,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.78 : 12,339.26 = 7,135.42 : x
  2. Step 2: Convert to fraction form
    8,233.78/12,339.26 = 7,135.42/x
  3. Step 3: Cross multiply
    8,233.78x = 12,339.26 × 7,135.42
  4. Step 4: Simplify right side
    8,233.78x = 88,045,802.59
  5. Step 5: Solve for x
    x = 88,045,802.59/8,233.78
  6. Step 6: Final answer
    x = 10,693.24

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1.5x scale

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.