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Finding the Fourth Proportional to 12,931, 17,844.78 and 7,043

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Solution

The fourth proportional to 12,931, 17,844.78 and 7,043 is: 9,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931 : 17,844.78 = 7,043 : x
  2. Step 2: Convert to fraction form
    12,931/17,844.78 = 7,043/x
  3. Step 3: Cross multiply
    12,931x = 17,844.78 × 7,043
  4. Step 4: Simplify right side
    12,931x = 125,680,785.54
  5. Step 5: Solve for x
    x = 125,680,785.54/12,931
  6. Step 6: Final answer
    x = 9,719.34

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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.