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Finding the Fourth Proportional to 11,341.30, 16,980 and 8,559.13

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Solution

The fourth proportional to 11,341.30, 16,980 and 8,559.13 is: 12,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.30 : 16,980 = 8,559.13 : x
  2. Step 2: Convert to fraction form
    11,341.30/16,980 = 8,559.13/x
  3. Step 3: Cross multiply
    11,341.30x = 16,980 × 8,559.13
  4. Step 4: Simplify right side
    11,341.30x = 145,334,027.40
  5. Step 5: Solve for x
    x = 145,334,027.40/11,341.30
  6. Step 6: Final answer
    x = 12,814.58

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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.