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Finding the Fourth Proportional to 11,963.96, 16,510.10 and 6,658.78

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Solution

The fourth proportional to 11,963.96, 16,510.10 and 6,658.78 is: 9,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.96 : 16,510.10 = 6,658.78 : x
  2. Step 2: Convert to fraction form
    11,963.96/16,510.10 = 6,658.78/x
  3. Step 3: Cross multiply
    11,963.96x = 16,510.10 × 6,658.78
  4. Step 4: Simplify right side
    11,963.96x = 109,937,007.83
  5. Step 5: Solve for x
    x = 109,937,007.83/11,963.96
  6. Step 6: Final answer
    x = 9,189.02

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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.