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Finding the Fourth Proportional to 7,714.80, 11,564.10 and 4,420.80

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Solution

The fourth proportional to 7,714.80, 11,564.10 and 4,420.80 is: 6,626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.80 : 11,564.10 = 4,420.80 : x
  2. Step 2: Convert to fraction form
    7,714.80/11,564.10 = 4,420.80/x
  3. Step 3: Cross multiply
    7,714.80x = 11,564.10 × 4,420.80
  4. Step 4: Simplify right side
    7,714.80x = 51,122,573.28
  5. Step 5: Solve for x
    x = 51,122,573.28/7,714.80
  6. Step 6: Final answer
    x = 6,626.56

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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.