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Finding the Fourth Proportional to 13,143.64, 18,138.18 and 7,838.68

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Solution

The fourth proportional to 13,143.64, 18,138.18 and 7,838.68 is: 10,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.64 : 18,138.18 = 7,838.68 : x
  2. Step 2: Convert to fraction form
    13,143.64/18,138.18 = 7,838.68/x
  3. Step 3: Cross multiply
    13,143.64x = 18,138.18 × 7,838.68
  4. Step 4: Simplify right side
    13,143.64x = 142,179,388.80
  5. Step 5: Solve for x
    x = 142,179,388.80/13,143.64
  6. Step 6: Final answer
    x = 10,817.35

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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.