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Finding the Fourth Proportional to 7,762.55, 11,644.20 and 2,216.70

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Solution

The fourth proportional to 7,762.55, 11,644.20 and 2,216.70 is: 3,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.55 : 11,644.20 = 2,216.70 : x
  2. Step 2: Convert to fraction form
    7,762.55/11,644.20 = 2,216.70/x
  3. Step 3: Cross multiply
    7,762.55x = 11,644.20 × 2,216.70
  4. Step 4: Simplify right side
    7,762.55x = 25,811,698.14
  5. Step 5: Solve for x
    x = 25,811,698.14/7,762.55
  6. Step 6: Final answer
    x = 3,325.16

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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.