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Finding the Fourth Proportional to 30,274.56, 45,411.84 and 9,214.56

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Solution

The fourth proportional to 30,274.56, 45,411.84 and 9,214.56 is: 13,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274.56 : 45,411.84 = 9,214.56 : x
  2. Step 2: Convert to fraction form
    30,274.56/45,411.84 = 9,214.56/x
  3. Step 3: Cross multiply
    30,274.56x = 45,411.84 × 9,214.56
  4. Step 4: Simplify right side
    30,274.56x = 418,450,124.39
  5. Step 5: Solve for x
    x = 418,450,124.39/30,274.56
  6. Step 6: Final answer
    x = 13,821.84

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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.