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Finding the Fourth Proportional to 37.80, 53.70 and 37.80

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Solution

The fourth proportional to 37.80, 53.70 and 37.80 is: 53.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.80 : 53.70 = 37.80 : x
  2. Step 2: Convert to fraction form
    37.80/53.70 = 37.80/x
  3. Step 3: Cross multiply
    37.80x = 53.70 × 37.80
  4. Step 4: Simplify right side
    37.80x = 2,029.86
  5. Step 5: Solve for x
    x = 2,029.86/37.80
  6. Step 6: Final answer
    x = 53.70

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.