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Finding the Fourth Proportional to 12,118.64, 18,144.06 and 6,552

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Solution

The fourth proportional to 12,118.64, 18,144.06 and 6,552 is: 9,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.64 : 18,144.06 = 6,552 : x
  2. Step 2: Convert to fraction form
    12,118.64/18,144.06 = 6,552/x
  3. Step 3: Cross multiply
    12,118.64x = 18,144.06 × 6,552
  4. Step 4: Simplify right side
    12,118.64x = 118,879,881.12
  5. Step 5: Solve for x
    x = 118,879,881.12/12,118.64
  6. Step 6: Final answer
    x = 9,809.67

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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.