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Finding the Fourth Proportional to 22,920, 34,395.36 and 8,328

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Solution

The fourth proportional to 22,920, 34,395.36 and 8,328 is: 12,497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,920 : 34,395.36 = 8,328 : x
  2. Step 2: Convert to fraction form
    22,920/34,395.36 = 8,328/x
  3. Step 3: Cross multiply
    22,920x = 34,395.36 × 8,328
  4. Step 4: Simplify right side
    22,920x = 286,444,558.08
  5. Step 5: Solve for x
    x = 286,444,558.08/22,920
  6. Step 6: Final answer
    x = 12,497.58

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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.