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Finding the Fourth Proportional to 16,355, 22,572.84 and 9,640.23

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Solution

The fourth proportional to 16,355, 22,572.84 and 9,640.23 is: 13,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,355 : 22,572.84 = 9,640.23 : x
  2. Step 2: Convert to fraction form
    16,355/22,572.84 = 9,640.23/x
  3. Step 3: Cross multiply
    16,355x = 22,572.84 × 9,640.23
  4. Step 4: Simplify right side
    16,355x = 217,607,369.35
  5. Step 5: Solve for x
    x = 217,607,369.35/16,355
  6. Step 6: Final answer
    x = 13,305.25

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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.