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Finding the Fourth Proportional to 10,578.10, 15,869.78 and 7,464.19

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Solution

The fourth proportional to 10,578.10, 15,869.78 and 7,464.19 is: 11,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.10 : 15,869.78 = 7,464.19 : x
  2. Step 2: Convert to fraction form
    10,578.10/15,869.78 = 7,464.19/x
  3. Step 3: Cross multiply
    10,578.10x = 15,869.78 × 7,464.19
  4. Step 4: Simplify right side
    10,578.10x = 118,455,033.93
  5. Step 5: Solve for x
    x = 118,455,033.93/10,578.10
  6. Step 6: Final answer
    x = 11,198.14

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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.