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Finding the Fourth Proportional to 47.40, 70.80 and 32.07

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Solution

The fourth proportional to 47.40, 70.80 and 32.07 is: 47.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.40 : 70.80 = 32.07 : x
  2. Step 2: Convert to fraction form
    47.40/70.80 = 32.07/x
  3. Step 3: Cross multiply
    47.40x = 70.80 × 32.07
  4. Step 4: Simplify right side
    47.40x = 2,270.56
  5. Step 5: Solve for x
    x = 2,270.56/47.40
  6. Step 6: Final answer
    x = 47.90

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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.