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Finding the Fourth Proportional to 9,760.50, 13,480.43 and 6,611.22

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Solution

The fourth proportional to 9,760.50, 13,480.43 and 6,611.22 is: 9,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.50 : 13,480.43 = 6,611.22 : x
  2. Step 2: Convert to fraction form
    9,760.50/13,480.43 = 6,611.22/x
  3. Step 3: Cross multiply
    9,760.50x = 13,480.43 × 6,611.22
  4. Step 4: Simplify right side
    9,760.50x = 89,122,055.37
  5. Step 5: Solve for x
    x = 89,122,055.37/9,760.50
  6. Step 6: Final answer
    x = 9,130.89

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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.