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Finding the Fourth Proportional to 11,878.66, 17,810.79 and 8,176.83

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Solution

The fourth proportional to 11,878.66, 17,810.79 and 8,176.83 is: 12,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.66 : 17,810.79 = 8,176.83 : x
  2. Step 2: Convert to fraction form
    11,878.66/17,810.79 = 8,176.83/x
  3. Step 3: Cross multiply
    11,878.66x = 17,810.79 × 8,176.83
  4. Step 4: Simplify right side
    11,878.66x = 145,635,802.00
  5. Step 5: Solve for x
    x = 145,635,802.00/11,878.66
  6. Step 6: Final answer
    x = 12,260.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.