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Finding the Fourth Proportional to 15,381, 23,069.16 and 4,286.52

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Solution

The fourth proportional to 15,381, 23,069.16 and 4,286.52 is: 6,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,381 : 23,069.16 = 4,286.52 : x
  2. Step 2: Convert to fraction form
    15,381/23,069.16 = 4,286.52/x
  3. Step 3: Cross multiply
    15,381x = 23,069.16 × 4,286.52
  4. Step 4: Simplify right side
    15,381x = 98,886,415.72
  5. Step 5: Solve for x
    x = 98,886,415.72/15,381
  6. Step 6: Final answer
    x = 6,429.13

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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.