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Finding the Fourth Proportional to 21,758.53, 32,639.53 and 9,278.66

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Solution

The fourth proportional to 21,758.53, 32,639.53 and 9,278.66 is: 13,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.53 : 32,639.53 = 9,278.66 : x
  2. Step 2: Convert to fraction form
    21,758.53/32,639.53 = 9,278.66/x
  3. Step 3: Cross multiply
    21,758.53x = 32,639.53 × 9,278.66
  4. Step 4: Simplify right side
    21,758.53x = 302,851,121.66
  5. Step 5: Solve for x
    x = 302,851,121.66/21,758.53
  6. Step 6: Final answer
    x = 13,918.73

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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.