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Finding the Fourth Proportional to 34,315.68, 51,474.06 and 13,539

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Solution

The fourth proportional to 34,315.68, 51,474.06 and 13,539 is: 20,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,315.68 : 51,474.06 = 13,539 : x
  2. Step 2: Convert to fraction form
    34,315.68/51,474.06 = 13,539/x
  3. Step 3: Cross multiply
    34,315.68x = 51,474.06 × 13,539
  4. Step 4: Simplify right side
    34,315.68x = 696,907,298.34
  5. Step 5: Solve for x
    x = 696,907,298.34/34,315.68
  6. Step 6: Final answer
    x = 20,308.71

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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.