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Finding the Fourth Proportional to 19,874, 29,825.04 and 9,486.56

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Solution

The fourth proportional to 19,874, 29,825.04 and 9,486.56 is: 14,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874 : 29,825.04 = 9,486.56 : x
  2. Step 2: Convert to fraction form
    19,874/29,825.04 = 9,486.56/x
  3. Step 3: Cross multiply
    19,874x = 29,825.04 × 9,486.56
  4. Step 4: Simplify right side
    19,874x = 282,937,031.46
  5. Step 5: Solve for x
    x = 282,937,031.46/19,874
  6. Step 6: Final answer
    x = 14,236.54

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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.