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Finding the Fourth Proportional to 13,830.76, 19,091.94 and 9,352.36

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Solution

The fourth proportional to 13,830.76, 19,091.94 and 9,352.36 is: 12,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.76 : 19,091.94 = 9,352.36 : x
  2. Step 2: Convert to fraction form
    13,830.76/19,091.94 = 9,352.36/x
  3. Step 3: Cross multiply
    13,830.76x = 19,091.94 × 9,352.36
  4. Step 4: Simplify right side
    13,830.76x = 178,554,695.98
  5. Step 5: Solve for x
    x = 178,554,695.98/13,830.76
  6. Step 6: Final answer
    x = 12,909.97

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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.