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Finding the Fourth Proportional to 11,323, 15,625.76 and 6,907

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Solution

The fourth proportional to 11,323, 15,625.76 and 6,907 is: 9,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323 : 15,625.76 = 6,907 : x
  2. Step 2: Convert to fraction form
    11,323/15,625.76 = 6,907/x
  3. Step 3: Cross multiply
    11,323x = 15,625.76 × 6,907
  4. Step 4: Simplify right side
    11,323x = 107,927,124.32
  5. Step 5: Solve for x
    x = 107,927,124.32/11,323
  6. Step 6: Final answer
    x = 9,531.67

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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.