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Finding the Fourth Proportional to 12,823.21, 17,695.87 and 9,042.44

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Solution

The fourth proportional to 12,823.21, 17,695.87 and 9,042.44 is: 12,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.21 : 17,695.87 = 9,042.44 : x
  2. Step 2: Convert to fraction form
    12,823.21/17,695.87 = 9,042.44/x
  3. Step 3: Cross multiply
    12,823.21x = 17,695.87 × 9,042.44
  4. Step 4: Simplify right side
    12,823.21x = 160,013,731.64
  5. Step 5: Solve for x
    x = 160,013,731.64/12,823.21
  6. Step 6: Final answer
    x = 12,478.44

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1.5x scale

Why These Related Problems?

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