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Finding the Fourth Proportional to 15,838.72, 23,749.31 and 6,485.31

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Solution

The fourth proportional to 15,838.72, 23,749.31 and 6,485.31 is: 9,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.72 : 23,749.31 = 6,485.31 : x
  2. Step 2: Convert to fraction form
    15,838.72/23,749.31 = 6,485.31/x
  3. Step 3: Cross multiply
    15,838.72x = 23,749.31 × 6,485.31
  4. Step 4: Simplify right side
    15,838.72x = 154,021,653.85
  5. Step 5: Solve for x
    x = 154,021,653.85/15,838.72
  6. Step 6: Final answer
    x = 9,724.38

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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.