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Finding the Fourth Proportional to 20,998.62, 31,482.48 and 9,899.04

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Solution

The fourth proportional to 20,998.62, 31,482.48 and 9,899.04 is: 14,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.62 : 31,482.48 = 9,899.04 : x
  2. Step 2: Convert to fraction form
    20,998.62/31,482.48 = 9,899.04/x
  3. Step 3: Cross multiply
    20,998.62x = 31,482.48 × 9,899.04
  4. Step 4: Simplify right side
    20,998.62x = 311,646,328.82
  5. Step 5: Solve for x
    x = 311,646,328.82/20,998.62
  6. Step 6: Final answer
    x = 14,841.28

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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.