Home / 31.24-47.10-29.28

Finding the Fourth Proportional to 31.24, 47.10 and 29.28

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Solution

The fourth proportional to 31.24, 47.10 and 29.28 is: 44.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.24 : 47.10 = 29.28 : x
  2. Step 2: Convert to fraction form
    31.24/47.10 = 29.28/x
  3. Step 3: Cross multiply
    31.24x = 47.10 × 29.28
  4. Step 4: Simplify right side
    31.24x = 1,379.09
  5. Step 5: Solve for x
    x = 1,379.09/31.24
  6. Step 6: Final answer
    x = 44.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.