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Finding the Fourth Proportional to 10,520.75, 15,783.70 and 3,500.75

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Solution

The fourth proportional to 10,520.75, 15,783.70 and 3,500.75 is: 5,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.75 : 15,783.70 = 3,500.75 : x
  2. Step 2: Convert to fraction form
    10,520.75/15,783.70 = 3,500.75/x
  3. Step 3: Cross multiply
    10,520.75x = 15,783.70 × 3,500.75
  4. Step 4: Simplify right side
    10,520.75x = 55,254,834.89
  5. Step 5: Solve for x
    x = 55,254,834.89/10,520.75
  6. Step 6: Final answer
    x = 5,251.99

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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.