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Finding the Fourth Proportional to 8,223.67, 11,348.23 and 4,638.52

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Solution

The fourth proportional to 8,223.67, 11,348.23 and 4,638.52 is: 6,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.67 : 11,348.23 = 4,638.52 : x
  2. Step 2: Convert to fraction form
    8,223.67/11,348.23 = 4,638.52/x
  3. Step 3: Cross multiply
    8,223.67x = 11,348.23 × 4,638.52
  4. Step 4: Simplify right side
    8,223.67x = 52,638,911.89
  5. Step 5: Solve for x
    x = 52,638,911.89/8,223.67
  6. Step 6: Final answer
    x = 6,400.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.