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Finding the Fourth Proportional to 46.71, 70.05 and 17.82

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Solution

The fourth proportional to 46.71, 70.05 and 17.82 is: 26.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.71 : 70.05 = 17.82 : x
  2. Step 2: Convert to fraction form
    46.71/70.05 = 17.82/x
  3. Step 3: Cross multiply
    46.71x = 70.05 × 17.82
  4. Step 4: Simplify right side
    46.71x = 1,248.22
  5. Step 5: Solve for x
    x = 1,248.22/46.71
  6. Step 6: Final answer
    x = 26.72

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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.