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Finding the Fourth Proportional to 15,833.63, 21,849.42 and 8,760.05

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Solution

The fourth proportional to 15,833.63, 21,849.42 and 8,760.05 is: 12,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.63 : 21,849.42 = 8,760.05 : x
  2. Step 2: Convert to fraction form
    15,833.63/21,849.42 = 8,760.05/x
  3. Step 3: Cross multiply
    15,833.63x = 21,849.42 × 8,760.05
  4. Step 4: Simplify right side
    15,833.63x = 191,401,992.57
  5. Step 5: Solve for x
    x = 191,401,992.57/15,833.63
  6. Step 6: Final answer
    x = 12,088.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.