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Finding the Fourth Proportional to 13,486.77, 20,230.16 and 7,631.28

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Solution

The fourth proportional to 13,486.77, 20,230.16 and 7,631.28 is: 11,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.77 : 20,230.16 = 7,631.28 : x
  2. Step 2: Convert to fraction form
    13,486.77/20,230.16 = 7,631.28/x
  3. Step 3: Cross multiply
    13,486.77x = 20,230.16 × 7,631.28
  4. Step 4: Simplify right side
    13,486.77x = 154,381,977.25
  5. Step 5: Solve for x
    x = 154,381,977.25/13,486.77
  6. Step 6: Final answer
    x = 11,446.92

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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.