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Finding the Fourth Proportional to 16,654, 24,968.70 and 7,878.64

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Solution

The fourth proportional to 16,654, 24,968.70 and 7,878.64 is: 11,812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,654 : 24,968.70 = 7,878.64 : x
  2. Step 2: Convert to fraction form
    16,654/24,968.70 = 7,878.64/x
  3. Step 3: Cross multiply
    16,654x = 24,968.70 × 7,878.64
  4. Step 4: Simplify right side
    16,654x = 196,719,398.57
  5. Step 5: Solve for x
    x = 196,719,398.57/16,654
  6. Step 6: Final answer
    x = 11,812.14

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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.