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Finding the Fourth Proportional to 51.19, 70.62 and 30.47

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Solution

The fourth proportional to 51.19, 70.62 and 30.47 is: 42.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.19 : 70.62 = 30.47 : x
  2. Step 2: Convert to fraction form
    51.19/70.62 = 30.47/x
  3. Step 3: Cross multiply
    51.19x = 70.62 × 30.47
  4. Step 4: Simplify right side
    51.19x = 2,151.84
  5. Step 5: Solve for x
    x = 2,151.84/51.19
  6. Step 6: Final answer
    x = 42.04

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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.