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Finding the Fourth Proportional to 34,058, 47,002.20 and 19,154

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Solution

The fourth proportional to 34,058, 47,002.20 and 19,154 is: 26,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,058 : 47,002.20 = 19,154 : x
  2. Step 2: Convert to fraction form
    34,058/47,002.20 = 19,154/x
  3. Step 3: Cross multiply
    34,058x = 47,002.20 × 19,154
  4. Step 4: Simplify right side
    34,058x = 900,280,138.80
  5. Step 5: Solve for x
    x = 900,280,138.80/34,058
  6. Step 6: Final answer
    x = 26,433.73

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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.