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Finding the Fourth Proportional to 22,714.94, 31,342.87 and 12,643.12

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Solution

The fourth proportional to 22,714.94, 31,342.87 and 12,643.12 is: 17,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.94 : 31,342.87 = 12,643.12 : x
  2. Step 2: Convert to fraction form
    22,714.94/31,342.87 = 12,643.12/x
  3. Step 3: Cross multiply
    22,714.94x = 31,342.87 × 12,643.12
  4. Step 4: Simplify right side
    22,714.94x = 396,271,556.59
  5. Step 5: Solve for x
    x = 396,271,556.59/22,714.94
  6. Step 6: Final answer
    x = 17,445.41

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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.