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Finding the Fourth Proportional to 7,714.58, 11,571.28 and 2,784.22

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Solution

The fourth proportional to 7,714.58, 11,571.28 and 2,784.22 is: 4,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.58 : 11,571.28 = 2,784.22 : x
  2. Step 2: Convert to fraction form
    7,714.58/11,571.28 = 2,784.22/x
  3. Step 3: Cross multiply
    7,714.58x = 11,571.28 × 2,784.22
  4. Step 4: Simplify right side
    7,714.58x = 32,216,938.31
  5. Step 5: Solve for x
    x = 32,216,938.31/7,714.58
  6. Step 6: Final answer
    x = 4,176.11

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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.