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Finding the Fourth Proportional to 53.94, 73.90 and 52.45

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Solution

The fourth proportional to 53.94, 73.90 and 52.45 is: 71.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.94 : 73.90 = 52.45 : x
  2. Step 2: Convert to fraction form
    53.94/73.90 = 52.45/x
  3. Step 3: Cross multiply
    53.94x = 73.90 × 52.45
  4. Step 4: Simplify right side
    53.94x = 3,876.06
  5. Step 5: Solve for x
    x = 3,876.06/53.94
  6. Step 6: Final answer
    x = 71.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.