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Finding the Fourth Proportional to 3,220.18, 4,829.91 and 911.50

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Solution

The fourth proportional to 3,220.18, 4,829.91 and 911.50 is: 1,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.18 : 4,829.91 = 911.50 : x
  2. Step 2: Convert to fraction form
    3,220.18/4,829.91 = 911.50/x
  3. Step 3: Cross multiply
    3,220.18x = 4,829.91 × 911.50
  4. Step 4: Simplify right side
    3,220.18x = 4,402,462.97
  5. Step 5: Solve for x
    x = 4,402,462.97/3,220.18
  6. Step 6: Final answer
    x = 1,367.15

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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.