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Finding the Fourth Proportional to 47.02, 64.86 and 30.62

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Solution

The fourth proportional to 47.02, 64.86 and 30.62 is: 42.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.02 : 64.86 = 30.62 : x
  2. Step 2: Convert to fraction form
    47.02/64.86 = 30.62/x
  3. Step 3: Cross multiply
    47.02x = 64.86 × 30.62
  4. Step 4: Simplify right side
    47.02x = 1,986.01
  5. Step 5: Solve for x
    x = 1,986.01/47.02
  6. Step 6: Final answer
    x = 42.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.