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Finding the Fourth Proportional to 11,757.76, 17,639.04 and 3,966.40

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Solution

The fourth proportional to 11,757.76, 17,639.04 and 3,966.40 is: 5,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.76 : 17,639.04 = 3,966.40 : x
  2. Step 2: Convert to fraction form
    11,757.76/17,639.04 = 3,966.40/x
  3. Step 3: Cross multiply
    11,757.76x = 17,639.04 × 3,966.40
  4. Step 4: Simplify right side
    11,757.76x = 69,963,488.26
  5. Step 5: Solve for x
    x = 69,963,488.26/11,757.76
  6. Step 6: Final answer
    x = 5,950.41

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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.