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Finding the Fourth Proportional to 11,846.72, 17,775.84 and 7,688

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Solution

The fourth proportional to 11,846.72, 17,775.84 and 7,688 is: 11,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.72 : 17,775.84 = 7,688 : x
  2. Step 2: Convert to fraction form
    11,846.72/17,775.84 = 7,688/x
  3. Step 3: Cross multiply
    11,846.72x = 17,775.84 × 7,688
  4. Step 4: Simplify right side
    11,846.72x = 136,660,657.92
  5. Step 5: Solve for x
    x = 136,660,657.92/11,846.72
  6. Step 6: Final answer
    x = 11,535.74

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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.