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Finding the Fourth Proportional to 12,254.50, 16,911.23 and 6,665.50

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Solution

The fourth proportional to 12,254.50, 16,911.23 and 6,665.50 is: 9,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.50 : 16,911.23 = 6,665.50 : x
  2. Step 2: Convert to fraction form
    12,254.50/16,911.23 = 6,665.50/x
  3. Step 3: Cross multiply
    12,254.50x = 16,911.23 × 6,665.50
  4. Step 4: Simplify right side
    12,254.50x = 112,721,770.24
  5. Step 5: Solve for x
    x = 112,721,770.24/12,254.50
  6. Step 6: Final answer
    x = 9,198.40

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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.