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Finding the Fourth Proportional to 13,409.99, 20,107.15 and 4,047.20

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Solution

The fourth proportional to 13,409.99, 20,107.15 and 4,047.20 is: 6,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.99 : 20,107.15 = 4,047.20 : x
  2. Step 2: Convert to fraction form
    13,409.99/20,107.15 = 4,047.20/x
  3. Step 3: Cross multiply
    13,409.99x = 20,107.15 × 4,047.20
  4. Step 4: Simplify right side
    13,409.99x = 81,377,657.48
  5. Step 5: Solve for x
    x = 81,377,657.48/13,409.99
  6. Step 6: Final answer
    x = 6,068.44

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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.