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Finding the Fourth Proportional to 58.67, 81.06 and 51.74

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Solution

The fourth proportional to 58.67, 81.06 and 51.74 is: 71.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.67 : 81.06 = 51.74 : x
  2. Step 2: Convert to fraction form
    58.67/81.06 = 51.74/x
  3. Step 3: Cross multiply
    58.67x = 81.06 × 51.74
  4. Step 4: Simplify right side
    58.67x = 4,194.04
  5. Step 5: Solve for x
    x = 4,194.04/58.67
  6. Step 6: Final answer
    x = 71.49

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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.