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Finding the Fourth Proportional to 52.62, 71.64 and 52.41

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Solution

The fourth proportional to 52.62, 71.64 and 52.41 is: 71.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.62 : 71.64 = 52.41 : x
  2. Step 2: Convert to fraction form
    52.62/71.64 = 52.41/x
  3. Step 3: Cross multiply
    52.62x = 71.64 × 52.41
  4. Step 4: Simplify right side
    52.62x = 3,754.65
  5. Step 5: Solve for x
    x = 3,754.65/52.62
  6. Step 6: Final answer
    x = 71.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.