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Finding the Fourth Proportional to 10,861, 16,291.50 and 2,653

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Solution

The fourth proportional to 10,861, 16,291.50 and 2,653 is: 3,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861 : 16,291.50 = 2,653 : x
  2. Step 2: Convert to fraction form
    10,861/16,291.50 = 2,653/x
  3. Step 3: Cross multiply
    10,861x = 16,291.50 × 2,653
  4. Step 4: Simplify right side
    10,861x = 43,221,349.50
  5. Step 5: Solve for x
    x = 43,221,349.50/10,861
  6. Step 6: Final answer
    x = 3,979.50

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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.