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Finding the Fourth Proportional to 8,805.54, 12,138.03 and 6,564

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Solution

The fourth proportional to 8,805.54, 12,138.03 and 6,564 is: 9,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,805.54 : 12,138.03 = 6,564 : x
  2. Step 2: Convert to fraction form
    8,805.54/12,138.03 = 6,564/x
  3. Step 3: Cross multiply
    8,805.54x = 12,138.03 × 6,564
  4. Step 4: Simplify right side
    8,805.54x = 79,674,028.92
  5. Step 5: Solve for x
    x = 79,674,028.92/8,805.54
  6. Step 6: Final answer
    x = 9,048.17

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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.