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Finding the Fourth Proportional to 12,227.70, 18,329.40 and 5,642.40

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Solution

The fourth proportional to 12,227.70, 18,329.40 and 5,642.40 is: 8,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.70 : 18,329.40 = 5,642.40 : x
  2. Step 2: Convert to fraction form
    12,227.70/18,329.40 = 5,642.40/x
  3. Step 3: Cross multiply
    12,227.70x = 18,329.40 × 5,642.40
  4. Step 4: Simplify right side
    12,227.70x = 103,421,806.56
  5. Step 5: Solve for x
    x = 103,421,806.56/12,227.70
  6. Step 6: Final answer
    x = 8,457.99

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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.