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Finding the Fourth Proportional to 7,894.09, 10,893.42 and 4,909.84

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Solution

The fourth proportional to 7,894.09, 10,893.42 and 4,909.84 is: 6,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.09 : 10,893.42 = 4,909.84 : x
  2. Step 2: Convert to fraction form
    7,894.09/10,893.42 = 4,909.84/x
  3. Step 3: Cross multiply
    7,894.09x = 10,893.42 × 4,909.84
  4. Step 4: Simplify right side
    7,894.09x = 53,484,949.25
  5. Step 5: Solve for x
    x = 53,484,949.25/7,894.09
  6. Step 6: Final answer
    x = 6,775.32

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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.