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Finding the Fourth Proportional to 22,178, 30,605.62 and 14,220.20

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Solution

The fourth proportional to 22,178, 30,605.62 and 14,220.20 is: 19,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178 : 30,605.62 = 14,220.20 : x
  2. Step 2: Convert to fraction form
    22,178/30,605.62 = 14,220.20/x
  3. Step 3: Cross multiply
    22,178x = 30,605.62 × 14,220.20
  4. Step 4: Simplify right side
    22,178x = 435,218,037.52
  5. Step 5: Solve for x
    x = 435,218,037.52/22,178
  6. Step 6: Final answer
    x = 19,623.86

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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.