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Finding the Fourth Proportional to 8,639.68, 11,929.76 and 8,204.80

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Solution

The fourth proportional to 8,639.68, 11,929.76 and 8,204.80 is: 11,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,639.68 : 11,929.76 = 8,204.80 : x
  2. Step 2: Convert to fraction form
    8,639.68/11,929.76 = 8,204.80/x
  3. Step 3: Cross multiply
    8,639.68x = 11,929.76 × 8,204.80
  4. Step 4: Simplify right side
    8,639.68x = 97,881,294.85
  5. Step 5: Solve for x
    x = 97,881,294.85/8,639.68
  6. Step 6: Final answer
    x = 11,329.27

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1.5x scale

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.