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Finding the Fourth Proportional to 11,700.68, 16,142.10 and 8,506.98

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Solution

The fourth proportional to 11,700.68, 16,142.10 and 8,506.98 is: 11,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.68 : 16,142.10 = 8,506.98 : x
  2. Step 2: Convert to fraction form
    11,700.68/16,142.10 = 8,506.98/x
  3. Step 3: Cross multiply
    11,700.68x = 16,142.10 × 8,506.98
  4. Step 4: Simplify right side
    11,700.68x = 137,320,521.86
  5. Step 5: Solve for x
    x = 137,320,521.86/11,700.68
  6. Step 6: Final answer
    x = 11,736.11

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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.