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Finding the Fourth Proportional to 15,058, 20,780.04 and 8,434

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Solution

The fourth proportional to 15,058, 20,780.04 and 8,434 is: 11,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,058 : 20,780.04 = 8,434 : x
  2. Step 2: Convert to fraction form
    15,058/20,780.04 = 8,434/x
  3. Step 3: Cross multiply
    15,058x = 20,780.04 × 8,434
  4. Step 4: Simplify right side
    15,058x = 175,258,857.36
  5. Step 5: Solve for x
    x = 175,258,857.36/15,058
  6. Step 6: Final answer
    x = 11,638.92

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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.