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Finding the Fourth Proportional to 30,578.90, 45,868.34 and 8,392.38

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Solution

The fourth proportional to 30,578.90, 45,868.34 and 8,392.38 is: 12,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.90 : 45,868.34 = 8,392.38 : x
  2. Step 2: Convert to fraction form
    30,578.90/45,868.34 = 8,392.38/x
  3. Step 3: Cross multiply
    30,578.90x = 45,868.34 × 8,392.38
  4. Step 4: Simplify right side
    30,578.90x = 384,944,539.25
  5. Step 5: Solve for x
    x = 384,944,539.25/30,578.90
  6. Step 6: Final answer
    x = 12,588.57

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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.