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Finding the Fourth Proportional to 11,878.40, 16,392.62 and 7,686.65

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Solution

The fourth proportional to 11,878.40, 16,392.62 and 7,686.65 is: 10,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.40 : 16,392.62 = 7,686.65 : x
  2. Step 2: Convert to fraction form
    11,878.40/16,392.62 = 7,686.65/x
  3. Step 3: Cross multiply
    11,878.40x = 16,392.62 × 7,686.65
  4. Step 4: Simplify right side
    11,878.40x = 126,004,269.78
  5. Step 5: Solve for x
    x = 126,004,269.78/11,878.40
  6. Step 6: Final answer
    x = 10,607.85

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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.