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Finding the Fourth Proportional to 11,214.16, 15,475 and 6,499.96

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Solution

The fourth proportional to 11,214.16, 15,475 and 6,499.96 is: 8,969.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.16 : 15,475 = 6,499.96 : x
  2. Step 2: Convert to fraction form
    11,214.16/15,475 = 6,499.96/x
  3. Step 3: Cross multiply
    11,214.16x = 15,475 × 6,499.96
  4. Step 4: Simplify right side
    11,214.16x = 100,586,881
  5. Step 5: Solve for x
    x = 100,586,881/11,214.16
  6. Step 6: Final answer
    x = 8,969.63

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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.