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Finding the Fourth Proportional to 17,881.32, 26,813.34 and 7,884.84

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Solution

The fourth proportional to 17,881.32, 26,813.34 and 7,884.84 is: 11,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.32 : 26,813.34 = 7,884.84 : x
  2. Step 2: Convert to fraction form
    17,881.32/26,813.34 = 7,884.84/x
  3. Step 3: Cross multiply
    17,881.32x = 26,813.34 × 7,884.84
  4. Step 4: Simplify right side
    17,881.32x = 211,418,895.77
  5. Step 5: Solve for x
    x = 211,418,895.77/17,881.32
  6. Step 6: Final answer
    x = 11,823.45

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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.