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Finding the Fourth Proportional to 38,658.66, 57,975.68 and 12,357.26

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Solution

The fourth proportional to 38,658.66, 57,975.68 and 12,357.26 is: 18,531.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,658.66 : 57,975.68 = 12,357.26 : x
  2. Step 2: Convert to fraction form
    38,658.66/57,975.68 = 12,357.26/x
  3. Step 3: Cross multiply
    38,658.66x = 57,975.68 × 12,357.26
  4. Step 4: Simplify right side
    38,658.66x = 716,420,199.77
  5. Step 5: Solve for x
    x = 716,420,199.77/38,658.66
  6. Step 6: Final answer
    x = 18,531.95

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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.