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Finding the Fourth Proportional to 8,472.96, 11,688 and 5,328

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Solution

The fourth proportional to 8,472.96, 11,688 and 5,328 is: 7,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.96 : 11,688 = 5,328 : x
  2. Step 2: Convert to fraction form
    8,472.96/11,688 = 5,328/x
  3. Step 3: Cross multiply
    8,472.96x = 11,688 × 5,328
  4. Step 4: Simplify right side
    8,472.96x = 62,273,664
  5. Step 5: Solve for x
    x = 62,273,664/8,472.96
  6. Step 6: Final answer
    x = 7,349.69

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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.