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Finding the Fourth Proportional to 13,091.59, 19,647.78 and 6,853.51

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Solution

The fourth proportional to 13,091.59, 19,647.78 and 6,853.51 is: 10,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.59 : 19,647.78 = 6,853.51 : x
  2. Step 2: Convert to fraction form
    13,091.59/19,647.78 = 6,853.51/x
  3. Step 3: Cross multiply
    13,091.59x = 19,647.78 × 6,853.51
  4. Step 4: Simplify right side
    13,091.59x = 134,656,256.71
  5. Step 5: Solve for x
    x = 134,656,256.71/13,091.59
  6. Step 6: Final answer
    x = 10,285.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.