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Finding the Fourth Proportional to 6,611.84, 9,123.72 and 3,959.20

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Solution

The fourth proportional to 6,611.84, 9,123.72 and 3,959.20 is: 5,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.84 : 9,123.72 = 3,959.20 : x
  2. Step 2: Convert to fraction form
    6,611.84/9,123.72 = 3,959.20/x
  3. Step 3: Cross multiply
    6,611.84x = 9,123.72 × 3,959.20
  4. Step 4: Simplify right side
    6,611.84x = 36,122,632.22
  5. Step 5: Solve for x
    x = 36,122,632.22/6,611.84
  6. Step 6: Final answer
    x = 5,463.33

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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.