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Finding the Fourth Proportional to 10,971.80, 16,446.90 and 5,420.60

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Solution

The fourth proportional to 10,971.80, 16,446.90 and 5,420.60 is: 8,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.80 : 16,446.90 = 5,420.60 : x
  2. Step 2: Convert to fraction form
    10,971.80/16,446.90 = 5,420.60/x
  3. Step 3: Cross multiply
    10,971.80x = 16,446.90 × 5,420.60
  4. Step 4: Simplify right side
    10,971.80x = 89,152,066.14
  5. Step 5: Solve for x
    x = 89,152,066.14/10,971.80
  6. Step 6: Final answer
    x = 8,125.56

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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.