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Finding the Fourth Proportional to 19,370.96, 29,031 and 8,959.76

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Solution

The fourth proportional to 19,370.96, 29,031 and 8,959.76 is: 13,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,370.96 : 29,031 = 8,959.76 : x
  2. Step 2: Convert to fraction form
    19,370.96/29,031 = 8,959.76/x
  3. Step 3: Cross multiply
    19,370.96x = 29,031 × 8,959.76
  4. Step 4: Simplify right side
    19,370.96x = 260,110,792.56
  5. Step 5: Solve for x
    x = 260,110,792.56/19,370.96
  6. Step 6: Final answer
    x = 13,427.87

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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.