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Finding the Fourth Proportional to 11,656, 16,085.28 and 6,688

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Solution

The fourth proportional to 11,656, 16,085.28 and 6,688 is: 9,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656 : 16,085.28 = 6,688 : x
  2. Step 2: Convert to fraction form
    11,656/16,085.28 = 6,688/x
  3. Step 3: Cross multiply
    11,656x = 16,085.28 × 6,688
  4. Step 4: Simplify right side
    11,656x = 107,578,352.64
  5. Step 5: Solve for x
    x = 107,578,352.64/11,656
  6. Step 6: Final answer
    x = 9,229.44

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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.