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Finding the Fourth Proportional to 8,428.87, 11,631.93 and 4,652.20

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Solution

The fourth proportional to 8,428.87, 11,631.93 and 4,652.20 is: 6,420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.87 : 11,631.93 = 4,652.20 : x
  2. Step 2: Convert to fraction form
    8,428.87/11,631.93 = 4,652.20/x
  3. Step 3: Cross multiply
    8,428.87x = 11,631.93 × 4,652.20
  4. Step 4: Simplify right side
    8,428.87x = 54,114,064.75
  5. Step 5: Solve for x
    x = 54,114,064.75/8,428.87
  6. Step 6: Final answer
    x = 6,420.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.