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Finding the Fourth Proportional to 12,294.86, 16,949.01 and 9,777.98

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Solution

The fourth proportional to 12,294.86, 16,949.01 and 9,777.98 is: 13,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.86 : 16,949.01 = 9,777.98 : x
  2. Step 2: Convert to fraction form
    12,294.86/16,949.01 = 9,777.98/x
  3. Step 3: Cross multiply
    12,294.86x = 16,949.01 × 9,777.98
  4. Step 4: Simplify right side
    12,294.86x = 165,727,080.80
  5. Step 5: Solve for x
    x = 165,727,080.80/12,294.86
  6. Step 6: Final answer
    x = 13,479.38

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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.