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Finding the Fourth Proportional to 4,478.72, 6,719.90 and 1,559.07

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Solution

The fourth proportional to 4,478.72, 6,719.90 and 1,559.07 is: 2,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.72 : 6,719.90 = 1,559.07 : x
  2. Step 2: Convert to fraction form
    4,478.72/6,719.90 = 1,559.07/x
  3. Step 3: Cross multiply
    4,478.72x = 6,719.90 × 1,559.07
  4. Step 4: Simplify right side
    4,478.72x = 10,476,786.70
  5. Step 5: Solve for x
    x = 10,476,786.70/4,478.72
  6. Step 6: Final answer
    x = 2,339.24

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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.