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Finding the Fourth Proportional to 10,771.34, 16,156.98 and 2,980.13

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Solution

The fourth proportional to 10,771.34, 16,156.98 and 2,980.13 is: 4,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.34 : 16,156.98 = 2,980.13 : x
  2. Step 2: Convert to fraction form
    10,771.34/16,156.98 = 2,980.13/x
  3. Step 3: Cross multiply
    10,771.34x = 16,156.98 × 2,980.13
  4. Step 4: Simplify right side
    10,771.34x = 48,149,820.02
  5. Step 5: Solve for x
    x = 48,149,820.02/10,771.34
  6. Step 6: Final answer
    x = 4,470.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.