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Finding the Fourth Proportional to 7,658.40, 11,487.60 and 5,714.40

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Solution

The fourth proportional to 7,658.40, 11,487.60 and 5,714.40 is: 8,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.40 : 11,487.60 = 5,714.40 : x
  2. Step 2: Convert to fraction form
    7,658.40/11,487.60 = 5,714.40/x
  3. Step 3: Cross multiply
    7,658.40x = 11,487.60 × 5,714.40
  4. Step 4: Simplify right side
    7,658.40x = 65,644,741.44
  5. Step 5: Solve for x
    x = 65,644,741.44/7,658.40
  6. Step 6: Final answer
    x = 8,571.60

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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.