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Finding the Fourth Proportional to 7,762.32, 11,644.20 and 3,145.68

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Solution

The fourth proportional to 7,762.32, 11,644.20 and 3,145.68 is: 4,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.32 : 11,644.20 = 3,145.68 : x
  2. Step 2: Convert to fraction form
    7,762.32/11,644.20 = 3,145.68/x
  3. Step 3: Cross multiply
    7,762.32x = 11,644.20 × 3,145.68
  4. Step 4: Simplify right side
    7,762.32x = 36,628,927.06
  5. Step 5: Solve for x
    x = 36,628,927.06/7,762.32
  6. Step 6: Final answer
    x = 4,718.81

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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.