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Finding the Fourth Proportional to 14,822, 20,457.78 and 9,787.22

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Solution

The fourth proportional to 14,822, 20,457.78 and 9,787.22 is: 13,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822 : 20,457.78 = 9,787.22 : x
  2. Step 2: Convert to fraction form
    14,822/20,457.78 = 9,787.22/x
  3. Step 3: Cross multiply
    14,822x = 20,457.78 × 9,787.22
  4. Step 4: Simplify right side
    14,822x = 200,224,793.57
  5. Step 5: Solve for x
    x = 200,224,793.57/14,822
  6. Step 6: Final answer
    x = 13,508.62

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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.