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Finding the Fourth Proportional to 37.59, 56.48 and 26.21

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Solution

The fourth proportional to 37.59, 56.48 and 26.21 is: 39.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.59 : 56.48 = 26.21 : x
  2. Step 2: Convert to fraction form
    37.59/56.48 = 26.21/x
  3. Step 3: Cross multiply
    37.59x = 56.48 × 26.21
  4. Step 4: Simplify right side
    37.59x = 1,479.93
  5. Step 5: Solve for x
    x = 1,479.93/37.59
  6. Step 6: Final answer
    x = 39.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.