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Finding the Fourth Proportional to 11,124.50, 15,351.81 and 6,156.50

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Solution

The fourth proportional to 11,124.50, 15,351.81 and 6,156.50 is: 8,495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,124.50 : 15,351.81 = 6,156.50 : x
  2. Step 2: Convert to fraction form
    11,124.50/15,351.81 = 6,156.50/x
  3. Step 3: Cross multiply
    11,124.50x = 15,351.81 × 6,156.50
  4. Step 4: Simplify right side
    11,124.50x = 94,513,418.27
  5. Step 5: Solve for x
    x = 94,513,418.27/11,124.50
  6. Step 6: Final answer
    x = 8,495.97

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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.