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Finding the Fourth Proportional to 11,883.70, 16,401.59 and 7,640.02

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Solution

The fourth proportional to 11,883.70, 16,401.59 and 7,640.02 is: 10,544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.70 : 16,401.59 = 7,640.02 : x
  2. Step 2: Convert to fraction form
    11,883.70/16,401.59 = 7,640.02/x
  3. Step 3: Cross multiply
    11,883.70x = 16,401.59 × 7,640.02
  4. Step 4: Simplify right side
    11,883.70x = 125,308,475.63
  5. Step 5: Solve for x
    x = 125,308,475.63/11,883.70
  6. Step 6: Final answer
    x = 10,544.57

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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.