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Finding the Fourth Proportional to 7,627.75, 11,410.03 and 7,161.19

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Solution

The fourth proportional to 7,627.75, 11,410.03 and 7,161.19 is: 10,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.75 : 11,410.03 = 7,161.19 : x
  2. Step 2: Convert to fraction form
    7,627.75/11,410.03 = 7,161.19/x
  3. Step 3: Cross multiply
    7,627.75x = 11,410.03 × 7,161.19
  4. Step 4: Simplify right side
    7,627.75x = 81,709,373.16
  5. Step 5: Solve for x
    x = 81,709,373.16/7,627.75
  6. Step 6: Final answer
    x = 10,712.12

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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.