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Finding the Fourth Proportional to 10,900.12, 16,348.62 and 3,503.62

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Solution

The fourth proportional to 10,900.12, 16,348.62 and 3,503.62 is: 5,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.12 : 16,348.62 = 3,503.62 : x
  2. Step 2: Convert to fraction form
    10,900.12/16,348.62 = 3,503.62/x
  3. Step 3: Cross multiply
    10,900.12x = 16,348.62 × 3,503.62
  4. Step 4: Simplify right side
    10,900.12x = 57,279,311.13
  5. Step 5: Solve for x
    x = 57,279,311.13/10,900.12
  6. Step 6: Final answer
    x = 5,254.93

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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.