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Finding the Fourth Proportional to 7,809.24, 11,713.74 and 3,913.56

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Solution

The fourth proportional to 7,809.24, 11,713.74 and 3,913.56 is: 5,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.24 : 11,713.74 = 3,913.56 : x
  2. Step 2: Convert to fraction form
    7,809.24/11,713.74 = 3,913.56/x
  3. Step 3: Cross multiply
    7,809.24x = 11,713.74 × 3,913.56
  4. Step 4: Simplify right side
    7,809.24x = 45,842,424.31
  5. Step 5: Solve for x
    x = 45,842,424.31/7,809.24
  6. Step 6: Final answer
    x = 5,870.28

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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.