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Finding the Fourth Proportional to 53.14, 79.28 and 47.74

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Solution

The fourth proportional to 53.14, 79.28 and 47.74 is: 71.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.14 : 79.28 = 47.74 : x
  2. Step 2: Convert to fraction form
    53.14/79.28 = 47.74/x
  3. Step 3: Cross multiply
    53.14x = 79.28 × 47.74
  4. Step 4: Simplify right side
    53.14x = 3,784.83
  5. Step 5: Solve for x
    x = 3,784.83/53.14
  6. Step 6: Final answer
    x = 71.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.