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Finding the Fourth Proportional to 11,892.69, 16,412.13 and 6,856.07

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Solution

The fourth proportional to 11,892.69, 16,412.13 and 6,856.07 is: 9,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.69 : 16,412.13 = 6,856.07 : x
  2. Step 2: Convert to fraction form
    11,892.69/16,412.13 = 6,856.07/x
  3. Step 3: Cross multiply
    11,892.69x = 16,412.13 × 6,856.07
  4. Step 4: Simplify right side
    11,892.69x = 112,522,630.07
  5. Step 5: Solve for x
    x = 112,522,630.07/11,892.69
  6. Step 6: Final answer
    x = 9,461.50

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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.