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Finding the Fourth Proportional to 11,871.78, 17,807.67 and 3,107.45

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Solution

The fourth proportional to 11,871.78, 17,807.67 and 3,107.45 is: 4,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.78 : 17,807.67 = 3,107.45 : x
  2. Step 2: Convert to fraction form
    11,871.78/17,807.67 = 3,107.45/x
  3. Step 3: Cross multiply
    11,871.78x = 17,807.67 × 3,107.45
  4. Step 4: Simplify right side
    11,871.78x = 55,336,355.10
  5. Step 5: Solve for x
    x = 55,336,355.10/11,871.78
  6. Step 6: Final answer
    x = 4,661.17

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1.5x scale

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.