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Finding the Fourth Proportional to 60.51, 83.47 and 39.75

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Solution

The fourth proportional to 60.51, 83.47 and 39.75 is: 54.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.51 : 83.47 = 39.75 : x
  2. Step 2: Convert to fraction form
    60.51/83.47 = 39.75/x
  3. Step 3: Cross multiply
    60.51x = 83.47 × 39.75
  4. Step 4: Simplify right side
    60.51x = 3,318.41
  5. Step 5: Solve for x
    x = 3,318.41/60.51
  6. Step 6: Final answer
    x = 54.84

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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.