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Finding the Fourth Proportional to 9,091, 13,627.99 and 8,279.38

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Solution

The fourth proportional to 9,091, 13,627.99 and 8,279.38 is: 12,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091 : 13,627.99 = 8,279.38 : x
  2. Step 2: Convert to fraction form
    9,091/13,627.99 = 8,279.38/x
  3. Step 3: Cross multiply
    9,091x = 13,627.99 × 8,279.38
  4. Step 4: Simplify right side
    9,091x = 112,831,307.85
  5. Step 5: Solve for x
    x = 112,831,307.85/9,091
  6. Step 6: Final answer
    x = 12,411.32

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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.