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Finding the Fourth Proportional to 16,890.50, 25,335.76 and 4,578.50

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Solution

The fourth proportional to 16,890.50, 25,335.76 and 4,578.50 is: 6,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,890.50 : 25,335.76 = 4,578.50 : x
  2. Step 2: Convert to fraction form
    16,890.50/25,335.76 = 4,578.50/x
  3. Step 3: Cross multiply
    16,890.50x = 25,335.76 × 4,578.50
  4. Step 4: Simplify right side
    16,890.50x = 115,999,777.16
  5. Step 5: Solve for x
    x = 115,999,777.16/16,890.50
  6. Step 6: Final answer
    x = 6,867.75

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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.