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Finding the Fourth Proportional to 8,445.50, 12,668.28 and 2,289.50

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Solution

The fourth proportional to 8,445.50, 12,668.28 and 2,289.50 is: 3,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445.50 : 12,668.28 = 2,289.50 : x
  2. Step 2: Convert to fraction form
    8,445.50/12,668.28 = 2,289.50/x
  3. Step 3: Cross multiply
    8,445.50x = 12,668.28 × 2,289.50
  4. Step 4: Simplify right side
    8,445.50x = 29,004,027.06
  5. Step 5: Solve for x
    x = 29,004,027.06/8,445.50
  6. Step 6: Final answer
    x = 3,434.26

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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.