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Finding the Fourth Proportional to 14,792.19, 20,411.40 and 8,419.62

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Solution

The fourth proportional to 14,792.19, 20,411.40 and 8,419.62 is: 11,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792.19 : 20,411.40 = 8,419.62 : x
  2. Step 2: Convert to fraction form
    14,792.19/20,411.40 = 8,419.62/x
  3. Step 3: Cross multiply
    14,792.19x = 20,411.40 × 8,419.62
  4. Step 4: Simplify right side
    14,792.19x = 171,856,231.67
  5. Step 5: Solve for x
    x = 171,856,231.67/14,792.19
  6. Step 6: Final answer
    x = 11,618.04

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1.5x scale

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.