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Finding the Fourth Proportional to 18,690, 25,792.20 and 10,306.56

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Solution

The fourth proportional to 18,690, 25,792.20 and 10,306.56 is: 14,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,690 : 25,792.20 = 10,306.56 : x
  2. Step 2: Convert to fraction form
    18,690/25,792.20 = 10,306.56/x
  3. Step 3: Cross multiply
    18,690x = 25,792.20 × 10,306.56
  4. Step 4: Simplify right side
    18,690x = 265,828,856.83
  5. Step 5: Solve for x
    x = 265,828,856.83/18,690
  6. Step 6: Final answer
    x = 14,223.05

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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.