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Finding the Fourth Proportional to 11,179, 15,426.84 and 6,143.23

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Solution

The fourth proportional to 11,179, 15,426.84 and 6,143.23 is: 8,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,179 : 15,426.84 = 6,143.23 : x
  2. Step 2: Convert to fraction form
    11,179/15,426.84 = 6,143.23/x
  3. Step 3: Cross multiply
    11,179x = 15,426.84 × 6,143.23
  4. Step 4: Simplify right side
    11,179x = 94,770,626.29
  5. Step 5: Solve for x
    x = 94,770,626.29/11,179
  6. Step 6: Final answer
    x = 8,477.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.