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Finding the Fourth Proportional to 22,714.11, 31,358.51 and 15,185.36

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Solution

The fourth proportional to 22,714.11, 31,358.51 and 15,185.36 is: 20,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.11 : 31,358.51 = 15,185.36 : x
  2. Step 2: Convert to fraction form
    22,714.11/31,358.51 = 15,185.36/x
  3. Step 3: Cross multiply
    22,714.11x = 31,358.51 × 15,185.36
  4. Step 4: Simplify right side
    22,714.11x = 476,190,379.77
  5. Step 5: Solve for x
    x = 476,190,379.77/22,714.11
  6. Step 6: Final answer
    x = 20,964.52

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