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Finding the Fourth Proportional to 21,668, 32,503.16 and 6,878.08

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Solution

The fourth proportional to 21,668, 32,503.16 and 6,878.08 is: 10,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,668 : 32,503.16 = 6,878.08 : x
  2. Step 2: Convert to fraction form
    21,668/32,503.16 = 6,878.08/x
  3. Step 3: Cross multiply
    21,668x = 32,503.16 × 6,878.08
  4. Step 4: Simplify right side
    21,668x = 223,559,334.73
  5. Step 5: Solve for x
    x = 223,559,334.73/21,668
  6. Step 6: Final answer
    x = 10,317.49

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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.