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Finding the Fourth Proportional to 13,107.64, 18,090 and 8,070.86

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Solution

The fourth proportional to 13,107.64, 18,090 and 8,070.86 is: 11,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.64 : 18,090 = 8,070.86 : x
  2. Step 2: Convert to fraction form
    13,107.64/18,090 = 8,070.86/x
  3. Step 3: Cross multiply
    13,107.64x = 18,090 × 8,070.86
  4. Step 4: Simplify right side
    13,107.64x = 146,001,857.40
  5. Step 5: Solve for x
    x = 146,001,857.40/13,107.64
  6. Step 6: Final answer
    x = 11,138.68

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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.