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Finding the Fourth Proportional to 10,289.81, 15,435.85 and 4,049

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Solution

The fourth proportional to 10,289.81, 15,435.85 and 4,049 is: 6,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.81 : 15,435.85 = 4,049 : x
  2. Step 2: Convert to fraction form
    10,289.81/15,435.85 = 4,049/x
  3. Step 3: Cross multiply
    10,289.81x = 15,435.85 × 4,049
  4. Step 4: Simplify right side
    10,289.81x = 62,499,756.65
  5. Step 5: Solve for x
    x = 62,499,756.65/10,289.81
  6. Step 6: Final answer
    x = 6,073.95

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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.