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Finding the Fourth Proportional to 13,981.82, 20,980.82 and 5,216.40

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Solution

The fourth proportional to 13,981.82, 20,980.82 and 5,216.40 is: 7,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.82 : 20,980.82 = 5,216.40 : x
  2. Step 2: Convert to fraction form
    13,981.82/20,980.82 = 5,216.40/x
  3. Step 3: Cross multiply
    13,981.82x = 20,980.82 × 5,216.40
  4. Step 4: Simplify right side
    13,981.82x = 109,444,362.49
  5. Step 5: Solve for x
    x = 109,444,362.49/13,981.82
  6. Step 6: Final answer
    x = 7,827.62

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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.