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Finding the Fourth Proportional to 15,758, 21,748.20 and 9,134

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Solution

The fourth proportional to 15,758, 21,748.20 and 9,134 is: 12,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758 : 21,748.20 = 9,134 : x
  2. Step 2: Convert to fraction form
    15,758/21,748.20 = 9,134/x
  3. Step 3: Cross multiply
    15,758x = 21,748.20 × 9,134
  4. Step 4: Simplify right side
    15,758x = 198,648,058.80
  5. Step 5: Solve for x
    x = 198,648,058.80/15,758
  6. Step 6: Final answer
    x = 12,606.17

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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.