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Finding the Fourth Proportional to 21,007.68, 31,492 and 7,850.04

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Solution

The fourth proportional to 21,007.68, 31,492 and 7,850.04 is: 11,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.68 : 31,492 = 7,850.04 : x
  2. Step 2: Convert to fraction form
    21,007.68/31,492 = 7,850.04/x
  3. Step 3: Cross multiply
    21,007.68x = 31,492 × 7,850.04
  4. Step 4: Simplify right side
    21,007.68x = 247,213,459.68
  5. Step 5: Solve for x
    x = 247,213,459.68/21,007.68
  6. Step 6: Final answer
    x = 11,767.77

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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.