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Finding the Fourth Proportional to 13,762.23, 20,616.81 and 8,220

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Solution

The fourth proportional to 13,762.23, 20,616.81 and 8,220 is: 12,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.23 : 20,616.81 = 8,220 : x
  2. Step 2: Convert to fraction form
    13,762.23/20,616.81 = 8,220/x
  3. Step 3: Cross multiply
    13,762.23x = 20,616.81 × 8,220
  4. Step 4: Simplify right side
    13,762.23x = 169,470,178.20
  5. Step 5: Solve for x
    x = 169,470,178.20/13,762.23
  6. Step 6: Final answer
    x = 12,314.15

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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.