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Finding the Fourth Proportional to 12,931, 17,843.84 and 7,265.46

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Solution

The fourth proportional to 12,931, 17,843.84 and 7,265.46 is: 10,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931 : 17,843.84 = 7,265.46 : x
  2. Step 2: Convert to fraction form
    12,931/17,843.84 = 7,265.46/x
  3. Step 3: Cross multiply
    12,931x = 17,843.84 × 7,265.46
  4. Step 4: Simplify right side
    12,931x = 129,643,705.77
  5. Step 5: Solve for x
    x = 129,643,705.77/12,931
  6. Step 6: Final answer
    x = 10,025.81

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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.