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Finding the Fourth Proportional to 9,105.70, 13,648.29 and 4,650.90

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Solution

The fourth proportional to 9,105.70, 13,648.29 and 4,650.90 is: 6,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.70 : 13,648.29 = 4,650.90 : x
  2. Step 2: Convert to fraction form
    9,105.70/13,648.29 = 4,650.90/x
  3. Step 3: Cross multiply
    9,105.70x = 13,648.29 × 4,650.90
  4. Step 4: Simplify right side
    9,105.70x = 63,476,849.40
  5. Step 5: Solve for x
    x = 63,476,849.40/9,105.70
  6. Step 6: Final answer
    x = 6,971.11

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1.5x scale

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.