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Finding the Fourth Proportional to 7,771.55, 11,657.32 and 2,576.21

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Solution

The fourth proportional to 7,771.55, 11,657.32 and 2,576.21 is: 3,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.55 : 11,657.32 = 2,576.21 : x
  2. Step 2: Convert to fraction form
    7,771.55/11,657.32 = 2,576.21/x
  3. Step 3: Cross multiply
    7,771.55x = 11,657.32 × 2,576.21
  4. Step 4: Simplify right side
    7,771.55x = 30,031,639.63
  5. Step 5: Solve for x
    x = 30,031,639.63/7,771.55
  6. Step 6: Final answer
    x = 3,864.31

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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.