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Finding the Fourth Proportional to 20,894.64, 31,354.73 and 9,046.11

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Solution

The fourth proportional to 20,894.64, 31,354.73 and 9,046.11 is: 13,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.64 : 31,354.73 = 9,046.11 : x
  2. Step 2: Convert to fraction form
    20,894.64/31,354.73 = 9,046.11/x
  3. Step 3: Cross multiply
    20,894.64x = 31,354.73 × 9,046.11
  4. Step 4: Simplify right side
    20,894.64x = 283,638,291.37
  5. Step 5: Solve for x
    x = 283,638,291.37/20,894.64
  6. Step 6: Final answer
    x = 13,574.69

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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.