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Finding the Fourth Proportional to 21,775.50, 30,053.84 and 12,349.53

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Solution

The fourth proportional to 21,775.50, 30,053.84 and 12,349.53 is: 17,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.50 : 30,053.84 = 12,349.53 : x
  2. Step 2: Convert to fraction form
    21,775.50/30,053.84 = 12,349.53/x
  3. Step 3: Cross multiply
    21,775.50x = 30,053.84 × 12,349.53
  4. Step 4: Simplify right side
    21,775.50x = 371,150,736.95
  5. Step 5: Solve for x
    x = 371,150,736.95/21,775.50
  6. Step 6: Final answer
    x = 17,044.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.