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Finding the Fourth Proportional to 41,220, 61,827.12 and 21,509.64

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Solution

The fourth proportional to 41,220, 61,827.12 and 21,509.64 is: 32,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,220 : 61,827.12 = 21,509.64 : x
  2. Step 2: Convert to fraction form
    41,220/61,827.12 = 21,509.64/x
  3. Step 3: Cross multiply
    41,220x = 61,827.12 × 21,509.64
  4. Step 4: Simplify right side
    41,220x = 1,329,879,093.44
  5. Step 5: Solve for x
    x = 1,329,879,093.44/41,220
  6. Step 6: Final answer
    x = 32,262.96

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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.