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Finding the Fourth Proportional to 7,674.87, 11,512.32 and 5,203.56

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Solution

The fourth proportional to 7,674.87, 11,512.32 and 5,203.56 is: 7,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.87 : 11,512.32 = 5,203.56 : x
  2. Step 2: Convert to fraction form
    7,674.87/11,512.32 = 5,203.56/x
  3. Step 3: Cross multiply
    7,674.87x = 11,512.32 × 5,203.56
  4. Step 4: Simplify right side
    7,674.87x = 59,905,047.86
  5. Step 5: Solve for x
    x = 59,905,047.86/7,674.87
  6. Step 6: Final answer
    x = 7,805.35

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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.