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Finding the Fourth Proportional to 13,568.16, 18,728.16 and 8,266.08

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Solution

The fourth proportional to 13,568.16, 18,728.16 and 8,266.08 is: 11,409.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.16 : 18,728.16 = 8,266.08 : x
  2. Step 2: Convert to fraction form
    13,568.16/18,728.16 = 8,266.08/x
  3. Step 3: Cross multiply
    13,568.16x = 18,728.16 × 8,266.08
  4. Step 4: Simplify right side
    13,568.16x = 154,808,468.81
  5. Step 5: Solve for x
    x = 154,808,468.81/13,568.16
  6. Step 6: Final answer
    x = 11,409.69

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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.