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Finding the Fourth Proportional to 7,762.80, 11,644.20 and 2,215.60

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Solution

The fourth proportional to 7,762.80, 11,644.20 and 2,215.60 is: 3,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.80 : 11,644.20 = 2,215.60 : x
  2. Step 2: Convert to fraction form
    7,762.80/11,644.20 = 2,215.60/x
  3. Step 3: Cross multiply
    7,762.80x = 11,644.20 × 2,215.60
  4. Step 4: Simplify right side
    7,762.80x = 25,798,889.52
  5. Step 5: Solve for x
    x = 25,798,889.52/7,762.80
  6. Step 6: Final answer
    x = 3,323.40

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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.