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Finding the Fourth Proportional to 21,819, 32,728.50 and 5,403

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Solution

The fourth proportional to 21,819, 32,728.50 and 5,403 is: 8,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,819 : 32,728.50 = 5,403 : x
  2. Step 2: Convert to fraction form
    21,819/32,728.50 = 5,403/x
  3. Step 3: Cross multiply
    21,819x = 32,728.50 × 5,403
  4. Step 4: Simplify right side
    21,819x = 176,832,085.50
  5. Step 5: Solve for x
    x = 176,832,085.50/21,819
  6. Step 6: Final answer
    x = 8,104.50

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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.