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Finding the Fourth Proportional to 15,494.10, 21,381.99 and 8,420.52

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Solution

The fourth proportional to 15,494.10, 21,381.99 and 8,420.52 is: 11,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.10 : 21,381.99 = 8,420.52 : x
  2. Step 2: Convert to fraction form
    15,494.10/21,381.99 = 8,420.52/x
  3. Step 3: Cross multiply
    15,494.10x = 21,381.99 × 8,420.52
  4. Step 4: Simplify right side
    15,494.10x = 180,047,474.43
  5. Step 5: Solve for x
    x = 180,047,474.43/15,494.10
  6. Step 6: Final answer
    x = 11,620.39

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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.