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Finding the Fourth Proportional to 7,809.70, 10,777.65 and 4,272.92

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Solution

The fourth proportional to 7,809.70, 10,777.65 and 4,272.92 is: 5,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.70 : 10,777.65 = 4,272.92 : x
  2. Step 2: Convert to fraction form
    7,809.70/10,777.65 = 4,272.92/x
  3. Step 3: Cross multiply
    7,809.70x = 10,777.65 × 4,272.92
  4. Step 4: Simplify right side
    7,809.70x = 46,052,036.24
  5. Step 5: Solve for x
    x = 46,052,036.24/7,809.70
  6. Step 6: Final answer
    x = 5,896.77

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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.