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Finding the Fourth Proportional to 13,440.99, 20,158.23 and 4,206.99

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Solution

The fourth proportional to 13,440.99, 20,158.23 and 4,206.99 is: 6,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.99 : 20,158.23 = 4,206.99 : x
  2. Step 2: Convert to fraction form
    13,440.99/20,158.23 = 4,206.99/x
  3. Step 3: Cross multiply
    13,440.99x = 20,158.23 × 4,206.99
  4. Step 4: Simplify right side
    13,440.99x = 84,805,472.03
  5. Step 5: Solve for x
    x = 84,805,472.03/13,440.99
  6. Step 6: Final answer
    x = 6,309.47

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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.