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Finding the Fourth Proportional to 9,920.94, 14,949.68 and 8,204.54

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Solution

The fourth proportional to 9,920.94, 14,949.68 and 8,204.54 is: 12,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.94 : 14,949.68 = 8,204.54 : x
  2. Step 2: Convert to fraction form
    9,920.94/14,949.68 = 8,204.54/x
  3. Step 3: Cross multiply
    9,920.94x = 14,949.68 × 8,204.54
  4. Step 4: Simplify right side
    9,920.94x = 122,655,264.41
  5. Step 5: Solve for x
    x = 122,655,264.41/9,920.94
  6. Step 6: Final answer
    x = 12,363.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.