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Finding the Fourth Proportional to 38,505.73, 53,138.10 and 21,510.69

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Solution

The fourth proportional to 38,505.73, 53,138.10 and 21,510.69 is: 29,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,505.73 : 53,138.10 = 21,510.69 : x
  2. Step 2: Convert to fraction form
    38,505.73/53,138.10 = 21,510.69/x
  3. Step 3: Cross multiply
    38,505.73x = 53,138.10 × 21,510.69
  4. Step 4: Simplify right side
    38,505.73x = 1,143,037,196.29
  5. Step 5: Solve for x
    x = 1,143,037,196.29/38,505.73
  6. Step 6: Final answer
    x = 29,684.86

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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.