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Finding the Fourth Proportional to 13,763.90, 20,653.14 and 8,228.16

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Solution

The fourth proportional to 13,763.90, 20,653.14 and 8,228.16 is: 12,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.90 : 20,653.14 = 8,228.16 : x
  2. Step 2: Convert to fraction form
    13,763.90/20,653.14 = 8,228.16/x
  3. Step 3: Cross multiply
    13,763.90x = 20,653.14 × 8,228.16
  4. Step 4: Simplify right side
    13,763.90x = 169,937,340.42
  5. Step 5: Solve for x
    x = 169,937,340.42/13,763.90
  6. Step 6: Final answer
    x = 12,346.60

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1.5x scale

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.