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Finding the Fourth Proportional to 16,830, 25,248.65 and 6,441.75

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Solution

The fourth proportional to 16,830, 25,248.65 and 6,441.75 is: 9,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830 : 25,248.65 = 6,441.75 : x
  2. Step 2: Convert to fraction form
    16,830/25,248.65 = 6,441.75/x
  3. Step 3: Cross multiply
    16,830x = 25,248.65 × 6,441.75
  4. Step 4: Simplify right side
    16,830x = 162,645,458.93
  5. Step 5: Solve for x
    x = 162,645,458.93/16,830
  6. Step 6: Final answer
    x = 9,664.02

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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.