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Finding the Fourth Proportional to 4,719.76, 7,078.80 and 2,122.24

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Solution

The fourth proportional to 4,719.76, 7,078.80 and 2,122.24 is: 3,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.76 : 7,078.80 = 2,122.24 : x
  2. Step 2: Convert to fraction form
    4,719.76/7,078.80 = 2,122.24/x
  3. Step 3: Cross multiply
    4,719.76x = 7,078.80 × 2,122.24
  4. Step 4: Simplify right side
    4,719.76x = 15,022,912.51
  5. Step 5: Solve for x
    x = 15,022,912.51/4,719.76
  6. Step 6: Final answer
    x = 3,182.98

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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.