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Finding the Fourth Proportional to 16,874.93, 25,312.80 and 5,188.25

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Solution

The fourth proportional to 16,874.93, 25,312.80 and 5,188.25 is: 7,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.93 : 25,312.80 = 5,188.25 : x
  2. Step 2: Convert to fraction form
    16,874.93/25,312.80 = 5,188.25/x
  3. Step 3: Cross multiply
    16,874.93x = 25,312.80 × 5,188.25
  4. Step 4: Simplify right side
    16,874.93x = 131,329,134.60
  5. Step 5: Solve for x
    x = 131,329,134.60/16,874.93
  6. Step 6: Final answer
    x = 7,782.50

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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.