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Finding the Fourth Proportional to 52.95, 78.84 and 47.91

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Solution

The fourth proportional to 52.95, 78.84 and 47.91 is: 71.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.95 : 78.84 = 47.91 : x
  2. Step 2: Convert to fraction form
    52.95/78.84 = 47.91/x
  3. Step 3: Cross multiply
    52.95x = 78.84 × 47.91
  4. Step 4: Simplify right side
    52.95x = 3,777.22
  5. Step 5: Solve for x
    x = 3,777.22/52.95
  6. Step 6: Final answer
    x = 71.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.