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Finding the Fourth Proportional to 7,824, 10,793.82 and 4,834.65

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Solution

The fourth proportional to 7,824, 10,793.82 and 4,834.65 is: 6,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824 : 10,793.82 = 4,834.65 : x
  2. Step 2: Convert to fraction form
    7,824/10,793.82 = 4,834.65/x
  3. Step 3: Cross multiply
    7,824x = 10,793.82 × 4,834.65
  4. Step 4: Simplify right side
    7,824x = 52,184,341.86
  5. Step 5: Solve for x
    x = 52,184,341.86/7,824
  6. Step 6: Final answer
    x = 6,669.78

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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.