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Finding the Fourth Proportional to 32.53, 49.06 and 31.50

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Solution

The fourth proportional to 32.53, 49.06 and 31.50 is: 47.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.53 : 49.06 = 31.50 : x
  2. Step 2: Convert to fraction form
    32.53/49.06 = 31.50/x
  3. Step 3: Cross multiply
    32.53x = 49.06 × 31.50
  4. Step 4: Simplify right side
    32.53x = 1,545.39
  5. Step 5: Solve for x
    x = 1,545.39/32.53
  6. Step 6: Final answer
    x = 47.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.