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Finding the Fourth Proportional to 51.63, 77 and 47.08

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Solution

The fourth proportional to 51.63, 77 and 47.08 is: 70.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.63 : 77 = 47.08 : x
  2. Step 2: Convert to fraction form
    51.63/77 = 47.08/x
  3. Step 3: Cross multiply
    51.63x = 77 × 47.08
  4. Step 4: Simplify right side
    51.63x = 3,625.16
  5. Step 5: Solve for x
    x = 3,625.16/51.63
  6. Step 6: Final answer
    x = 70.21

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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.