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Finding the Fourth Proportional to 11,890.84, 17,807.10 and 8,182.66

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Solution

The fourth proportional to 11,890.84, 17,807.10 and 8,182.66 is: 12,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.84 : 17,807.10 = 8,182.66 : x
  2. Step 2: Convert to fraction form
    11,890.84/17,807.10 = 8,182.66/x
  3. Step 3: Cross multiply
    11,890.84x = 17,807.10 × 8,182.66
  4. Step 4: Simplify right side
    11,890.84x = 145,709,444.89
  5. Step 5: Solve for x
    x = 145,709,444.89/11,890.84
  6. Step 6: Final answer
    x = 12,253.92

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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.