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Finding the Fourth Proportional to 10,506.87, 15,768.50 and 3,934.94

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Solution

The fourth proportional to 10,506.87, 15,768.50 and 3,934.94 is: 5,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.87 : 15,768.50 = 3,934.94 : x
  2. Step 2: Convert to fraction form
    10,506.87/15,768.50 = 3,934.94/x
  3. Step 3: Cross multiply
    10,506.87x = 15,768.50 × 3,934.94
  4. Step 4: Simplify right side
    10,506.87x = 62,048,002.87
  5. Step 5: Solve for x
    x = 62,048,002.87/10,506.87
  6. Step 6: Final answer
    x = 5,905.47

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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.