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Finding the Fourth Proportional to 39.18, 53.78 and 35.70

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Solution

The fourth proportional to 39.18, 53.78 and 35.70 is: 49.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.18 : 53.78 = 35.70 : x
  2. Step 2: Convert to fraction form
    39.18/53.78 = 35.70/x
  3. Step 3: Cross multiply
    39.18x = 53.78 × 35.70
  4. Step 4: Simplify right side
    39.18x = 1,919.87
  5. Step 5: Solve for x
    x = 1,919.87/39.18
  6. Step 6: Final answer
    x = 49.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.