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Finding the Fourth Proportional to 19,920.64, 29,856.64 and 8,220.80

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Solution

The fourth proportional to 19,920.64, 29,856.64 and 8,220.80 is: 12,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,920.64 : 29,856.64 = 8,220.80 : x
  2. Step 2: Convert to fraction form
    19,920.64/29,856.64 = 8,220.80/x
  3. Step 3: Cross multiply
    19,920.64x = 29,856.64 × 8,220.80
  4. Step 4: Simplify right side
    19,920.64x = 245,445,466.11
  5. Step 5: Solve for x
    x = 245,445,466.11/19,920.64
  6. Step 6: Final answer
    x = 12,321.16

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1.5x scale

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.