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Finding the Fourth Proportional to 16,299.65, 22,491.66 and 9,128.57

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Solution

The fourth proportional to 16,299.65, 22,491.66 and 9,128.57 is: 12,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.65 : 22,491.66 = 9,128.57 : x
  2. Step 2: Convert to fraction form
    16,299.65/22,491.66 = 9,128.57/x
  3. Step 3: Cross multiply
    16,299.65x = 22,491.66 × 9,128.57
  4. Step 4: Simplify right side
    16,299.65x = 205,316,689.67
  5. Step 5: Solve for x
    x = 205,316,689.67/16,299.65
  6. Step 6: Final answer
    x = 12,596.38

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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.