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Finding the Fourth Proportional to 13,913.76, 19,202.20 and 7,627.34

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Solution

The fourth proportional to 13,913.76, 19,202.20 and 7,627.34 is: 10,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.76 : 19,202.20 = 7,627.34 : x
  2. Step 2: Convert to fraction form
    13,913.76/19,202.20 = 7,627.34/x
  3. Step 3: Cross multiply
    13,913.76x = 19,202.20 × 7,627.34
  4. Step 4: Simplify right side
    13,913.76x = 146,461,708.15
  5. Step 5: Solve for x
    x = 146,461,708.15/13,913.76
  6. Step 6: Final answer
    x = 10,526.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.