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Finding the Fourth Proportional to 9,750.67, 13,443.72 and 8,137.90

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Solution

The fourth proportional to 9,750.67, 13,443.72 and 8,137.90 is: 11,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.67 : 13,443.72 = 8,137.90 : x
  2. Step 2: Convert to fraction form
    9,750.67/13,443.72 = 8,137.90/x
  3. Step 3: Cross multiply
    9,750.67x = 13,443.72 × 8,137.90
  4. Step 4: Simplify right side
    9,750.67x = 109,403,648.99
  5. Step 5: Solve for x
    x = 109,403,648.99/9,750.67
  6. Step 6: Final answer
    x = 11,220.12

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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.