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Finding the Fourth Proportional to 30,614.14, 45,915.81 and 8,422.17

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Solution

The fourth proportional to 30,614.14, 45,915.81 and 8,422.17 is: 12,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.14 : 45,915.81 = 8,422.17 : x
  2. Step 2: Convert to fraction form
    30,614.14/45,915.81 = 8,422.17/x
  3. Step 3: Cross multiply
    30,614.14x = 45,915.81 × 8,422.17
  4. Step 4: Simplify right side
    30,614.14x = 386,710,757.51
  5. Step 5: Solve for x
    x = 386,710,757.51/30,614.14
  6. Step 6: Final answer
    x = 12,631.77

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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.