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Finding the Fourth Proportional to 7,767.78, 10,719.72 and 4,409.97

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Solution

The fourth proportional to 7,767.78, 10,719.72 and 4,409.97 is: 6,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.78 : 10,719.72 = 4,409.97 : x
  2. Step 2: Convert to fraction form
    7,767.78/10,719.72 = 4,409.97/x
  3. Step 3: Cross multiply
    7,767.78x = 10,719.72 × 4,409.97
  4. Step 4: Simplify right side
    7,767.78x = 47,273,643.61
  5. Step 5: Solve for x
    x = 47,273,643.61/7,767.78
  6. Step 6: Final answer
    x = 6,085.86

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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.