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Finding the Fourth Proportional to 25,838, 35,650.92 and 15,223.76

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Solution

The fourth proportional to 25,838, 35,650.92 and 15,223.76 is: 21,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838 : 35,650.92 = 15,223.76 : x
  2. Step 2: Convert to fraction form
    25,838/35,650.92 = 15,223.76/x
  3. Step 3: Cross multiply
    25,838x = 35,650.92 × 15,223.76
  4. Step 4: Simplify right side
    25,838x = 542,741,049.86
  5. Step 5: Solve for x
    x = 542,741,049.86/25,838
  6. Step 6: Final answer
    x = 21,005.54

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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.