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Finding the Fourth Proportional to 21,802, 32,703.32 and 6,219.63

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Solution

The fourth proportional to 21,802, 32,703.32 and 6,219.63 is: 9,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,802 : 32,703.32 = 6,219.63 : x
  2. Step 2: Convert to fraction form
    21,802/32,703.32 = 6,219.63/x
  3. Step 3: Cross multiply
    21,802x = 32,703.32 × 6,219.63
  4. Step 4: Simplify right side
    21,802x = 203,402,550.17
  5. Step 5: Solve for x
    x = 203,402,550.17/21,802
  6. Step 6: Final answer
    x = 9,329.54

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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.