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Finding the Fourth Proportional to 19,696.21, 29,530.47 and 7,214.61

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Solution

The fourth proportional to 19,696.21, 29,530.47 and 7,214.61 is: 10,816.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696.21 : 29,530.47 = 7,214.61 : x
  2. Step 2: Convert to fraction form
    19,696.21/29,530.47 = 7,214.61/x
  3. Step 3: Cross multiply
    19,696.21x = 29,530.47 × 7,214.61
  4. Step 4: Simplify right side
    19,696.21x = 213,050,824.17
  5. Step 5: Solve for x
    x = 213,050,824.17/19,696.21
  6. Step 6: Final answer
    x = 10,816.84

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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.