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Finding the Fourth Proportional to 37.80, 56.64 and 23.52

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Solution

The fourth proportional to 37.80, 56.64 and 23.52 is: 35.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.80 : 56.64 = 23.52 : x
  2. Step 2: Convert to fraction form
    37.80/56.64 = 23.52/x
  3. Step 3: Cross multiply
    37.80x = 56.64 × 23.52
  4. Step 4: Simplify right side
    37.80x = 1,332.17
  5. Step 5: Solve for x
    x = 1,332.17/37.80
  6. Step 6: Final answer
    x = 35.24

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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.