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Finding the Fourth Proportional to 15,203.58, 20,980.50 and 8,489

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Solution

The fourth proportional to 15,203.58, 20,980.50 and 8,489 is: 11,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,203.58 : 20,980.50 = 8,489 : x
  2. Step 2: Convert to fraction form
    15,203.58/20,980.50 = 8,489/x
  3. Step 3: Cross multiply
    15,203.58x = 20,980.50 × 8,489
  4. Step 4: Simplify right side
    15,203.58x = 178,103,464.50
  5. Step 5: Solve for x
    x = 178,103,464.50/15,203.58
  6. Step 6: Final answer
    x = 11,714.57

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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.