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Finding the Fourth Proportional to 52.59, 79.26 and 47.78

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Solution

The fourth proportional to 52.59, 79.26 and 47.78 is: 72.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.59 : 79.26 = 47.78 : x
  2. Step 2: Convert to fraction form
    52.59/79.26 = 47.78/x
  3. Step 3: Cross multiply
    52.59x = 79.26 × 47.78
  4. Step 4: Simplify right side
    52.59x = 3,787.04
  5. Step 5: Solve for x
    x = 3,787.04/52.59
  6. Step 6: Final answer
    x = 72.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.