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Finding the Fourth Proportional to 13,466, 18,584.52 and 7,881.68

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Solution

The fourth proportional to 13,466, 18,584.52 and 7,881.68 is: 10,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466 : 18,584.52 = 7,881.68 : x
  2. Step 2: Convert to fraction form
    13,466/18,584.52 = 7,881.68/x
  3. Step 3: Cross multiply
    13,466x = 18,584.52 × 7,881.68
  4. Step 4: Simplify right side
    13,466x = 146,477,239.59
  5. Step 5: Solve for x
    x = 146,477,239.59/13,466
  6. Step 6: Final answer
    x = 10,877.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.