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Finding the Fourth Proportional to 30,578.46, 45,867.75 and 8,392.14

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Solution

The fourth proportional to 30,578.46, 45,867.75 and 8,392.14 is: 12,588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.46 : 45,867.75 = 8,392.14 : x
  2. Step 2: Convert to fraction form
    30,578.46/45,867.75 = 8,392.14/x
  3. Step 3: Cross multiply
    30,578.46x = 45,867.75 × 8,392.14
  4. Step 4: Simplify right side
    30,578.46x = 384,928,579.49
  5. Step 5: Solve for x
    x = 384,928,579.49/30,578.46
  6. Step 6: Final answer
    x = 12,588.23

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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.