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Finding the Fourth Proportional to 19,716.60, 29,510.10 and 13,884.60

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Solution

The fourth proportional to 19,716.60, 29,510.10 and 13,884.60 is: 20,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716.60 : 29,510.10 = 13,884.60 : x
  2. Step 2: Convert to fraction form
    19,716.60/29,510.10 = 13,884.60/x
  3. Step 3: Cross multiply
    19,716.60x = 29,510.10 × 13,884.60
  4. Step 4: Simplify right side
    19,716.60x = 409,735,934.46
  5. Step 5: Solve for x
    x = 409,735,934.46/19,716.60
  6. Step 6: Final answer
    x = 20,781.27

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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.