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Finding the Fourth Proportional to 53.87, 74.09 and 42.94

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Solution

The fourth proportional to 53.87, 74.09 and 42.94 is: 59.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.87 : 74.09 = 42.94 : x
  2. Step 2: Convert to fraction form
    53.87/74.09 = 42.94/x
  3. Step 3: Cross multiply
    53.87x = 74.09 × 42.94
  4. Step 4: Simplify right side
    53.87x = 3,180.84
  5. Step 5: Solve for x
    x = 3,180.84/53.87
  6. Step 6: Final answer
    x = 59.05

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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.