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Finding the Fourth Proportional to 51.99, 77.94 and 21.57

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Solution

The fourth proportional to 51.99, 77.94 and 21.57 is: 32.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.99 : 77.94 = 21.57 : x
  2. Step 2: Convert to fraction form
    51.99/77.94 = 21.57/x
  3. Step 3: Cross multiply
    51.99x = 77.94 × 21.57
  4. Step 4: Simplify right side
    51.99x = 1,681.17
  5. Step 5: Solve for x
    x = 1,681.17/51.99
  6. Step 6: Final answer
    x = 32.34

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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.