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Finding the Fourth Proportional to 12,254.34, 16,911 and 6,665.34

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Solution

The fourth proportional to 12,254.34, 16,911 and 6,665.34 is: 9,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.34 : 16,911 = 6,665.34 : x
  2. Step 2: Convert to fraction form
    12,254.34/16,911 = 6,665.34/x
  3. Step 3: Cross multiply
    12,254.34x = 16,911 × 6,665.34
  4. Step 4: Simplify right side
    12,254.34x = 112,717,564.74
  5. Step 5: Solve for x
    x = 112,717,564.74/12,254.34
  6. Step 6: Final answer
    x = 9,198.18

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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.