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Finding the Fourth Proportional to 13,670.40, 18,864 and 7,701.60

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Solution

The fourth proportional to 13,670.40, 18,864 and 7,701.60 is: 10,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.40 : 18,864 = 7,701.60 : x
  2. Step 2: Convert to fraction form
    13,670.40/18,864 = 7,701.60/x
  3. Step 3: Cross multiply
    13,670.40x = 18,864 × 7,701.60
  4. Step 4: Simplify right side
    13,670.40x = 145,282,982.40
  5. Step 5: Solve for x
    x = 145,282,982.40/13,670.40
  6. Step 6: Final answer
    x = 10,627.56

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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.