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Finding the Fourth Proportional to 13,603.60, 18,771.84 and 8,228.02

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Solution

The fourth proportional to 13,603.60, 18,771.84 and 8,228.02 is: 11,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,603.60 : 18,771.84 = 8,228.02 : x
  2. Step 2: Convert to fraction form
    13,603.60/18,771.84 = 8,228.02/x
  3. Step 3: Cross multiply
    13,603.60x = 18,771.84 × 8,228.02
  4. Step 4: Simplify right side
    13,603.60x = 154,455,074.96
  5. Step 5: Solve for x
    x = 154,455,074.96/13,603.60
  6. Step 6: Final answer
    x = 11,353.99

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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.