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Finding the Fourth Proportional to 48.59, 72.90 and 19.71

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Solution

The fourth proportional to 48.59, 72.90 and 19.71 is: 29.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.59 : 72.90 = 19.71 : x
  2. Step 2: Convert to fraction form
    48.59/72.90 = 19.71/x
  3. Step 3: Cross multiply
    48.59x = 72.90 × 19.71
  4. Step 4: Simplify right side
    48.59x = 1,436.86
  5. Step 5: Solve for x
    x = 1,436.86/48.59
  6. Step 6: Final answer
    x = 29.57

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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.