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Finding the Fourth Proportional to 30,775.86, 42,470.70 and 16,628.70

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Solution

The fourth proportional to 30,775.86, 42,470.70 and 16,628.70 is: 22,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.86 : 42,470.70 = 16,628.70 : x
  2. Step 2: Convert to fraction form
    30,775.86/42,470.70 = 16,628.70/x
  3. Step 3: Cross multiply
    30,775.86x = 42,470.70 × 16,628.70
  4. Step 4: Simplify right side
    30,775.86x = 706,232,529.09
  5. Step 5: Solve for x
    x = 706,232,529.09/30,775.86
  6. Step 6: Final answer
    x = 22,947.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.