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Finding the Fourth Proportional to 7,771.87, 10,725.16 and 4,235.07

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Solution

The fourth proportional to 7,771.87, 10,725.16 and 4,235.07 is: 5,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.87 : 10,725.16 = 4,235.07 : x
  2. Step 2: Convert to fraction form
    7,771.87/10,725.16 = 4,235.07/x
  3. Step 3: Cross multiply
    7,771.87x = 10,725.16 × 4,235.07
  4. Step 4: Simplify right side
    7,771.87x = 45,421,782.19
  5. Step 5: Solve for x
    x = 45,421,782.19/7,771.87
  6. Step 6: Final answer
    x = 5,844.39

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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.