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Finding the Fourth Proportional to 52.56, 72.50 and 38.76

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Solution

The fourth proportional to 52.56, 72.50 and 38.76 is: 53.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.56 : 72.50 = 38.76 : x
  2. Step 2: Convert to fraction form
    52.56/72.50 = 38.76/x
  3. Step 3: Cross multiply
    52.56x = 72.50 × 38.76
  4. Step 4: Simplify right side
    52.56x = 2,810.10
  5. Step 5: Solve for x
    x = 2,810.10/52.56
  6. Step 6: Final answer
    x = 53.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.