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Finding the Fourth Proportional to 22,230.64, 30,681 and 14,269.96

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Solution

The fourth proportional to 22,230.64, 30,681 and 14,269.96 is: 19,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,230.64 : 30,681 = 14,269.96 : x
  2. Step 2: Convert to fraction form
    22,230.64/30,681 = 14,269.96/x
  3. Step 3: Cross multiply
    22,230.64x = 30,681 × 14,269.96
  4. Step 4: Simplify right side
    22,230.64x = 437,816,642.76
  5. Step 5: Solve for x
    x = 437,816,642.76/22,230.64
  6. Step 6: Final answer
    x = 19,694.29

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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.