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Finding the Fourth Proportional to 13,913.75, 19,202.34 and 7,946.31

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Solution

The fourth proportional to 13,913.75, 19,202.34 and 7,946.31 is: 10,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.75 : 19,202.34 = 7,946.31 : x
  2. Step 2: Convert to fraction form
    13,913.75/19,202.34 = 7,946.31/x
  3. Step 3: Cross multiply
    13,913.75x = 19,202.34 × 7,946.31
  4. Step 4: Simplify right side
    13,913.75x = 152,587,746.37
  5. Step 5: Solve for x
    x = 152,587,746.37/13,913.75
  6. Step 6: Final answer
    x = 10,966.69

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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.