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Finding the Fourth Proportional to 16,906.88, 25,364.72 and 6,515.20

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Solution

The fourth proportional to 16,906.88, 25,364.72 and 6,515.20 is: 9,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.88 : 25,364.72 = 6,515.20 : x
  2. Step 2: Convert to fraction form
    16,906.88/25,364.72 = 6,515.20/x
  3. Step 3: Cross multiply
    16,906.88x = 25,364.72 × 6,515.20
  4. Step 4: Simplify right side
    16,906.88x = 165,256,223.74
  5. Step 5: Solve for x
    x = 165,256,223.74/16,906.88
  6. Step 6: Final answer
    x = 9,774.50

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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.