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Finding the Fourth Proportional to 7,805.28, 11,710.64 and 3,908.80

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Solution

The fourth proportional to 7,805.28, 11,710.64 and 3,908.80 is: 5,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.28 : 11,710.64 = 3,908.80 : x
  2. Step 2: Convert to fraction form
    7,805.28/11,710.64 = 3,908.80/x
  3. Step 3: Cross multiply
    7,805.28x = 11,710.64 × 3,908.80
  4. Step 4: Simplify right side
    7,805.28x = 45,774,549.63
  5. Step 5: Solve for x
    x = 45,774,549.63/7,805.28
  6. Step 6: Final answer
    x = 5,864.56

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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.