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Finding the Fourth Proportional to 10,605.16, 15,913.20 and 4,369.78

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Solution

The fourth proportional to 10,605.16, 15,913.20 and 4,369.78 is: 6,556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.16 : 15,913.20 = 4,369.78 : x
  2. Step 2: Convert to fraction form
    10,605.16/15,913.20 = 4,369.78/x
  3. Step 3: Cross multiply
    10,605.16x = 15,913.20 × 4,369.78
  4. Step 4: Simplify right side
    10,605.16x = 69,537,183.10
  5. Step 5: Solve for x
    x = 69,537,183.10/10,605.16
  6. Step 6: Final answer
    x = 6,556.92

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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.