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Finding the Fourth Proportional to 21,006.26, 31,509.99 and 7,856.12

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Solution

The fourth proportional to 21,006.26, 31,509.99 and 7,856.12 is: 11,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.26 : 31,509.99 = 7,856.12 : x
  2. Step 2: Convert to fraction form
    21,006.26/31,509.99 = 7,856.12/x
  3. Step 3: Cross multiply
    21,006.26x = 31,509.99 × 7,856.12
  4. Step 4: Simplify right side
    21,006.26x = 247,546,105.09
  5. Step 5: Solve for x
    x = 247,546,105.09/21,006.26
  6. Step 6: Final answer
    x = 11,784.40

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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.