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Finding the Fourth Proportional to 7,278.09, 10,917.84 and 2,894.58

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Solution

The fourth proportional to 7,278.09, 10,917.84 and 2,894.58 is: 4,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.09 : 10,917.84 = 2,894.58 : x
  2. Step 2: Convert to fraction form
    7,278.09/10,917.84 = 2,894.58/x
  3. Step 3: Cross multiply
    7,278.09x = 10,917.84 × 2,894.58
  4. Step 4: Simplify right side
    7,278.09x = 31,602,561.31
  5. Step 5: Solve for x
    x = 31,602,561.31/7,278.09
  6. Step 6: Final answer
    x = 4,342.15

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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.