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Finding the Fourth Proportional to 6,407.78, 9,611.76 and 2,709.55

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Solution

The fourth proportional to 6,407.78, 9,611.76 and 2,709.55 is: 4,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.78 : 9,611.76 = 2,709.55 : x
  2. Step 2: Convert to fraction form
    6,407.78/9,611.76 = 2,709.55/x
  3. Step 3: Cross multiply
    6,407.78x = 9,611.76 × 2,709.55
  4. Step 4: Simplify right side
    6,407.78x = 26,043,496.25
  5. Step 5: Solve for x
    x = 26,043,496.25/6,407.78
  6. Step 6: Final answer
    x = 4,064.36

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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.