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Finding the Fourth Proportional to 53.42, 73.75 and 47.65

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Solution

The fourth proportional to 53.42, 73.75 and 47.65 is: 65.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.42 : 73.75 = 47.65 : x
  2. Step 2: Convert to fraction form
    53.42/73.75 = 47.65/x
  3. Step 3: Cross multiply
    53.42x = 73.75 × 47.65
  4. Step 4: Simplify right side
    53.42x = 3,514.19
  5. Step 5: Solve for x
    x = 3,514.19/53.42
  6. Step 6: Final answer
    x = 65.78

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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.