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Finding the Fourth Proportional to 30,414.78, 45,624.18 and 14,623.14

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Solution

The fourth proportional to 30,414.78, 45,624.18 and 14,623.14 is: 21,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.78 : 45,624.18 = 14,623.14 : x
  2. Step 2: Convert to fraction form
    30,414.78/45,624.18 = 14,623.14/x
  3. Step 3: Cross multiply
    30,414.78x = 45,624.18 × 14,623.14
  4. Step 4: Simplify right side
    30,414.78x = 667,168,771.53
  5. Step 5: Solve for x
    x = 667,168,771.53/30,414.78
  6. Step 6: Final answer
    x = 21,935.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.