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Finding the Fourth Proportional to 9,920.90, 14,884.11 and 8,089.31

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Solution

The fourth proportional to 9,920.90, 14,884.11 and 8,089.31 is: 12,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.90 : 14,884.11 = 8,089.31 : x
  2. Step 2: Convert to fraction form
    9,920.90/14,884.11 = 8,089.31/x
  3. Step 3: Cross multiply
    9,920.90x = 14,884.11 × 8,089.31
  4. Step 4: Simplify right side
    9,920.90x = 120,402,105.44
  5. Step 5: Solve for x
    x = 120,402,105.44/9,920.90
  6. Step 6: Final answer
    x = 12,136.21

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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.