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Finding the Fourth Proportional to 11,307.05, 15,611.46 and 7,064.57

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Solution

The fourth proportional to 11,307.05, 15,611.46 and 7,064.57 is: 9,753.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.05 : 15,611.46 = 7,064.57 : x
  2. Step 2: Convert to fraction form
    11,307.05/15,611.46 = 7,064.57/x
  3. Step 3: Cross multiply
    11,307.05x = 15,611.46 × 7,064.57
  4. Step 4: Simplify right side
    11,307.05x = 110,288,251.97
  5. Step 5: Solve for x
    x = 110,288,251.97/11,307.05
  6. Step 6: Final answer
    x = 9,753.94

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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.