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Finding the Fourth Proportional to 8,900, 12,282.16 and 5,588

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Solution

The fourth proportional to 8,900, 12,282.16 and 5,588 is: 7,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900 : 12,282.16 = 5,588 : x
  2. Step 2: Convert to fraction form
    8,900/12,282.16 = 5,588/x
  3. Step 3: Cross multiply
    8,900x = 12,282.16 × 5,588
  4. Step 4: Simplify right side
    8,900x = 68,632,710.08
  5. Step 5: Solve for x
    x = 68,632,710.08/8,900
  6. Step 6: Final answer
    x = 7,711.54

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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.