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Finding the Fourth Proportional to 7,657.68, 11,487.84 and 3,762.48

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Solution

The fourth proportional to 7,657.68, 11,487.84 and 3,762.48 is: 5,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.68 : 11,487.84 = 3,762.48 : x
  2. Step 2: Convert to fraction form
    7,657.68/11,487.84 = 3,762.48/x
  3. Step 3: Cross multiply
    7,657.68x = 11,487.84 × 3,762.48
  4. Step 4: Simplify right side
    7,657.68x = 43,222,768.24
  5. Step 5: Solve for x
    x = 43,222,768.24/7,657.68
  6. Step 6: Final answer
    x = 5,644.37

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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.