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Finding the Fourth Proportional to 15,729, 23,589.76 and 6,959.08

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Solution

The fourth proportional to 15,729, 23,589.76 and 6,959.08 is: 10,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729 : 23,589.76 = 6,959.08 : x
  2. Step 2: Convert to fraction form
    15,729/23,589.76 = 6,959.08/x
  3. Step 3: Cross multiply
    15,729x = 23,589.76 × 6,959.08
  4. Step 4: Simplify right side
    15,729x = 164,163,027.02
  5. Step 5: Solve for x
    x = 164,163,027.02/15,729
  6. Step 6: Final answer
    x = 10,436.97

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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.