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Finding the Fourth Proportional to 13,930.76, 19,224.38 and 7,557.35

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Solution

The fourth proportional to 13,930.76, 19,224.38 and 7,557.35 is: 10,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.76 : 19,224.38 = 7,557.35 : x
  2. Step 2: Convert to fraction form
    13,930.76/19,224.38 = 7,557.35/x
  3. Step 3: Cross multiply
    13,930.76x = 19,224.38 × 7,557.35
  4. Step 4: Simplify right side
    13,930.76x = 145,285,453.17
  5. Step 5: Solve for x
    x = 145,285,453.17/13,930.76
  6. Step 6: Final answer
    x = 10,429.11

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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.