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Finding the Fourth Proportional to 11,026, 15,217 and 6,309.68

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Solution

The fourth proportional to 11,026, 15,217 and 6,309.68 is: 8,708.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026 : 15,217 = 6,309.68 : x
  2. Step 2: Convert to fraction form
    11,026/15,217 = 6,309.68/x
  3. Step 3: Cross multiply
    11,026x = 15,217 × 6,309.68
  4. Step 4: Simplify right side
    11,026x = 96,014,400.56
  5. Step 5: Solve for x
    x = 96,014,400.56/11,026
  6. Step 6: Final answer
    x = 8,708.00

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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.