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Finding the Fourth Proportional to 6,467.64, 9,719.70 and 4,428.60

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Solution

The fourth proportional to 6,467.64, 9,719.70 and 4,428.60 is: 6,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.64 : 9,719.70 = 4,428.60 : x
  2. Step 2: Convert to fraction form
    6,467.64/9,719.70 = 4,428.60/x
  3. Step 3: Cross multiply
    6,467.64x = 9,719.70 × 4,428.60
  4. Step 4: Simplify right side
    6,467.64x = 43,044,663.42
  5. Step 5: Solve for x
    x = 43,044,663.42/6,467.64
  6. Step 6: Final answer
    x = 6,655.39

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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.