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Finding the Fourth Proportional to 30,590.28, 45,879.93 and 8,400.78

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Solution

The fourth proportional to 30,590.28, 45,879.93 and 8,400.78 is: 12,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.28 : 45,879.93 = 8,400.78 : x
  2. Step 2: Convert to fraction form
    30,590.28/45,879.93 = 8,400.78/x
  3. Step 3: Cross multiply
    30,590.28x = 45,879.93 × 8,400.78
  4. Step 4: Simplify right side
    30,590.28x = 385,427,198.35
  5. Step 5: Solve for x
    x = 385,427,198.35/30,590.28
  6. Step 6: Final answer
    x = 12,599.66

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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.