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Finding the Fourth Proportional to 38.16, 56.88 and 36.84

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Solution

The fourth proportional to 38.16, 56.88 and 36.84 is: 54.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.16 : 56.88 = 36.84 : x
  2. Step 2: Convert to fraction form
    38.16/56.88 = 36.84/x
  3. Step 3: Cross multiply
    38.16x = 56.88 × 36.84
  4. Step 4: Simplify right side
    38.16x = 2,095.46
  5. Step 5: Solve for x
    x = 2,095.46/38.16
  6. Step 6: Final answer
    x = 54.91

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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.