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Finding the Fourth Proportional to 52.47, 78.63 and 20.39

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Solution

The fourth proportional to 52.47, 78.63 and 20.39 is: 30.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.47 : 78.63 = 20.39 : x
  2. Step 2: Convert to fraction form
    52.47/78.63 = 20.39/x
  3. Step 3: Cross multiply
    52.47x = 78.63 × 20.39
  4. Step 4: Simplify right side
    52.47x = 1,603.16
  5. Step 5: Solve for x
    x = 1,603.16/52.47
  6. Step 6: Final answer
    x = 30.55

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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.