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Finding the Fourth Proportional to 11,754, 16,206.12 and 9,228.24

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Solution

The fourth proportional to 11,754, 16,206.12 and 9,228.24 is: 12,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754 : 16,206.12 = 9,228.24 : x
  2. Step 2: Convert to fraction form
    11,754/16,206.12 = 9,228.24/x
  3. Step 3: Cross multiply
    11,754x = 16,206.12 × 9,228.24
  4. Step 4: Simplify right side
    11,754x = 149,553,964.83
  5. Step 5: Solve for x
    x = 149,553,964.83/11,754
  6. Step 6: Final answer
    x = 12,723.67

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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.