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Finding the Fourth Proportional to 11,643.51, 17,468.51 and 3,857.79

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Solution

The fourth proportional to 11,643.51, 17,468.51 and 3,857.79 is: 5,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.51 : 17,468.51 = 3,857.79 : x
  2. Step 2: Convert to fraction form
    11,643.51/17,468.51 = 3,857.79/x
  3. Step 3: Cross multiply
    11,643.51x = 17,468.51 × 3,857.79
  4. Step 4: Simplify right side
    11,643.51x = 67,389,823.90
  5. Step 5: Solve for x
    x = 67,389,823.90/11,643.51
  6. Step 6: Final answer
    x = 5,787.76

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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.