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Finding the Fourth Proportional to 19,885.16, 29,832.61 and 9,894.62

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Solution

The fourth proportional to 19,885.16, 29,832.61 and 9,894.62 is: 14,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.16 : 29,832.61 = 9,894.62 : x
  2. Step 2: Convert to fraction form
    19,885.16/29,832.61 = 9,894.62/x
  3. Step 3: Cross multiply
    19,885.16x = 29,832.61 × 9,894.62
  4. Step 4: Simplify right side
    19,885.16x = 295,182,339.56
  5. Step 5: Solve for x
    x = 295,182,339.56/19,885.16
  6. Step 6: Final answer
    x = 14,844.35

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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.