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Finding the Fourth Proportional to 53.53, 73.89 and 52.07

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Solution

The fourth proportional to 53.53, 73.89 and 52.07 is: 71.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.53 : 73.89 = 52.07 : x
  2. Step 2: Convert to fraction form
    53.53/73.89 = 52.07/x
  3. Step 3: Cross multiply
    53.53x = 73.89 × 52.07
  4. Step 4: Simplify right side
    53.53x = 3,847.40
  5. Step 5: Solve for x
    x = 3,847.40/53.53
  6. Step 6: Final answer
    x = 71.87

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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.