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Finding the Fourth Proportional to 11,220, 16,823.52 and 4,980

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Solution

The fourth proportional to 11,220, 16,823.52 and 4,980 is: 7,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220 : 16,823.52 = 4,980 : x
  2. Step 2: Convert to fraction form
    11,220/16,823.52 = 4,980/x
  3. Step 3: Cross multiply
    11,220x = 16,823.52 × 4,980
  4. Step 4: Simplify right side
    11,220x = 83,781,129.60
  5. Step 5: Solve for x
    x = 83,781,129.60/11,220
  6. Step 6: Final answer
    x = 7,467.12

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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.