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Finding the Fourth Proportional to 13,149.74, 18,146.60 and 8,434

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Solution

The fourth proportional to 13,149.74, 18,146.60 and 8,434 is: 11,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.74 : 18,146.60 = 8,434 : x
  2. Step 2: Convert to fraction form
    13,149.74/18,146.60 = 8,434/x
  3. Step 3: Cross multiply
    13,149.74x = 18,146.60 × 8,434
  4. Step 4: Simplify right side
    13,149.74x = 153,048,424.40
  5. Step 5: Solve for x
    x = 153,048,424.40/13,149.74
  6. Step 6: Final answer
    x = 11,638.89

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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.