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Finding the Fourth Proportional to 11,808.60, 17,712.90 and 9,929.40

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Solution

The fourth proportional to 11,808.60, 17,712.90 and 9,929.40 is: 14,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.60 : 17,712.90 = 9,929.40 : x
  2. Step 2: Convert to fraction form
    11,808.60/17,712.90 = 9,929.40/x
  3. Step 3: Cross multiply
    11,808.60x = 17,712.90 × 9,929.40
  4. Step 4: Simplify right side
    11,808.60x = 175,878,469.26
  5. Step 5: Solve for x
    x = 175,878,469.26/11,808.60
  6. Step 6: Final answer
    x = 14,894.10

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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.