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Finding the Fourth Proportional to 13,418.06, 18,512.35 and 7,829.06

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Solution

The fourth proportional to 13,418.06, 18,512.35 and 7,829.06 is: 10,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.06 : 18,512.35 = 7,829.06 : x
  2. Step 2: Convert to fraction form
    13,418.06/18,512.35 = 7,829.06/x
  3. Step 3: Cross multiply
    13,418.06x = 18,512.35 × 7,829.06
  4. Step 4: Simplify right side
    13,418.06x = 144,934,186.76
  5. Step 5: Solve for x
    x = 144,934,186.76/13,418.06
  6. Step 6: Final answer
    x = 10,801.43

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1.5x scale

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.