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Finding the Fourth Proportional to 7,671.43, 11,499.86 and 4,890.30

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Solution

The fourth proportional to 7,671.43, 11,499.86 and 4,890.30 is: 7,330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.43 : 11,499.86 = 4,890.30 : x
  2. Step 2: Convert to fraction form
    7,671.43/11,499.86 = 4,890.30/x
  3. Step 3: Cross multiply
    7,671.43x = 11,499.86 × 4,890.30
  4. Step 4: Simplify right side
    7,671.43x = 56,237,683.41
  5. Step 5: Solve for x
    x = 56,237,683.41/7,671.43
  6. Step 6: Final answer
    x = 7,330.80

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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.