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Finding the Fourth Proportional to 47.61, 71.27 and 47.00

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Solution

The fourth proportional to 47.61, 71.27 and 47.00 is: 70.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.61 : 71.27 = 47.00 : x
  2. Step 2: Convert to fraction form
    47.61/71.27 = 47.00/x
  3. Step 3: Cross multiply
    47.61x = 71.27 × 47.00
  4. Step 4: Simplify right side
    47.61x = 3,349.10
  5. Step 5: Solve for x
    x = 3,349.10/47.61
  6. Step 6: Final answer
    x = 70.34

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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.