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Finding the Fourth Proportional to 8,363.78, 11,537.21 and 5,214.50

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Solution

The fourth proportional to 8,363.78, 11,537.21 and 5,214.50 is: 7,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.78 : 11,537.21 = 5,214.50 : x
  2. Step 2: Convert to fraction form
    8,363.78/11,537.21 = 5,214.50/x
  3. Step 3: Cross multiply
    8,363.78x = 11,537.21 × 5,214.50
  4. Step 4: Simplify right side
    8,363.78x = 60,160,755.47
  5. Step 5: Solve for x
    x = 60,160,755.47/8,363.78
  6. Step 6: Final answer
    x = 7,193.01

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1.5x scale

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.