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Finding the Fourth Proportional to 30,774.76, 46,153.02 and 8,582.78

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Solution

The fourth proportional to 30,774.76, 46,153.02 and 8,582.78 is: 12,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.76 : 46,153.02 = 8,582.78 : x
  2. Step 2: Convert to fraction form
    30,774.76/46,153.02 = 8,582.78/x
  3. Step 3: Cross multiply
    30,774.76x = 46,153.02 × 8,582.78
  4. Step 4: Simplify right side
    30,774.76x = 396,121,364.56
  5. Step 5: Solve for x
    x = 396,121,364.56/30,774.76
  6. Step 6: Final answer
    x = 12,871.63

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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.