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Finding the Fourth Proportional to 16,354, 22,571.46 and 9,639.23

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Solution

The fourth proportional to 16,354, 22,571.46 and 9,639.23 is: 13,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354 : 22,571.46 = 9,639.23 : x
  2. Step 2: Convert to fraction form
    16,354/22,571.46 = 9,639.23/x
  3. Step 3: Cross multiply
    16,354x = 22,571.46 × 9,639.23
  4. Step 4: Simplify right side
    16,354x = 217,571,494.38
  5. Step 5: Solve for x
    x = 217,571,494.38/16,354
  6. Step 6: Final answer
    x = 13,303.87

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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.