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Finding the Fourth Proportional to 12,622.56, 17,405.46 and 8,592

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Solution

The fourth proportional to 12,622.56, 17,405.46 and 8,592 is: 11,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,622.56 : 17,405.46 = 8,592 : x
  2. Step 2: Convert to fraction form
    12,622.56/17,405.46 = 8,592/x
  3. Step 3: Cross multiply
    12,622.56x = 17,405.46 × 8,592
  4. Step 4: Simplify right side
    12,622.56x = 149,547,712.32
  5. Step 5: Solve for x
    x = 149,547,712.32/12,622.56
  6. Step 6: Final answer
    x = 11,847.65

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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.