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Finding the Fourth Proportional to 31,149, 46,728 and 10,082.16

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Solution

The fourth proportional to 31,149, 46,728 and 10,082.16 is: 15,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149 : 46,728 = 10,082.16 : x
  2. Step 2: Convert to fraction form
    31,149/46,728 = 10,082.16/x
  3. Step 3: Cross multiply
    31,149x = 46,728 × 10,082.16
  4. Step 4: Simplify right side
    31,149x = 471,119,172.48
  5. Step 5: Solve for x
    x = 471,119,172.48/31,149
  6. Step 6: Final answer
    x = 15,124.70

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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.