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Finding the Fourth Proportional to 8,664.16, 12,989.62 and 7,178.82

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Solution

The fourth proportional to 8,664.16, 12,989.62 and 7,178.82 is: 10,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.16 : 12,989.62 = 7,178.82 : x
  2. Step 2: Convert to fraction form
    8,664.16/12,989.62 = 7,178.82/x
  3. Step 3: Cross multiply
    8,664.16x = 12,989.62 × 7,178.82
  4. Step 4: Simplify right side
    8,664.16x = 93,250,107.95
  5. Step 5: Solve for x
    x = 93,250,107.95/8,664.16
  6. Step 6: Final answer
    x = 10,762.74

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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.