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Finding the Fourth Proportional to 19,796.64, 29,677.68 and 7,476

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Solution

The fourth proportional to 19,796.64, 29,677.68 and 7,476 is: 11,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796.64 : 29,677.68 = 7,476 : x
  2. Step 2: Convert to fraction form
    19,796.64/29,677.68 = 7,476/x
  3. Step 3: Cross multiply
    19,796.64x = 29,677.68 × 7,476
  4. Step 4: Simplify right side
    19,796.64x = 221,870,335.68
  5. Step 5: Solve for x
    x = 221,870,335.68/19,796.64
  6. Step 6: Final answer
    x = 11,207.47

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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.