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Finding the Fourth Proportional to 10,289.97, 15,435.90 and 4,744.85

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Solution

The fourth proportional to 10,289.97, 15,435.90 and 4,744.85 is: 7,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.97 : 15,435.90 = 4,744.85 : x
  2. Step 2: Convert to fraction form
    10,289.97/15,435.90 = 4,744.85/x
  3. Step 3: Cross multiply
    10,289.97x = 15,435.90 × 4,744.85
  4. Step 4: Simplify right side
    10,289.97x = 73,240,952.94
  5. Step 5: Solve for x
    x = 73,240,952.94/10,289.97
  6. Step 6: Final answer
    x = 7,117.70

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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.