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Finding the Fourth Proportional to 3,099.72, 4,648.86 and 1,047.72

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Solution

The fourth proportional to 3,099.72, 4,648.86 and 1,047.72 is: 1,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.72 : 4,648.86 = 1,047.72 : x
  2. Step 2: Convert to fraction form
    3,099.72/4,648.86 = 1,047.72/x
  3. Step 3: Cross multiply
    3,099.72x = 4,648.86 × 1,047.72
  4. Step 4: Simplify right side
    3,099.72x = 4,870,703.60
  5. Step 5: Solve for x
    x = 4,870,703.60/3,099.72
  6. Step 6: Final answer
    x = 1,571.34

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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.