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Finding the Fourth Proportional to 10,513.78, 15,773.50 and 3,494.93

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Solution

The fourth proportional to 10,513.78, 15,773.50 and 3,494.93 is: 5,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.78 : 15,773.50 = 3,494.93 : x
  2. Step 2: Convert to fraction form
    10,513.78/15,773.50 = 3,494.93/x
  3. Step 3: Cross multiply
    10,513.78x = 15,773.50 × 3,494.93
  4. Step 4: Simplify right side
    10,513.78x = 55,127,203.86
  5. Step 5: Solve for x
    x = 55,127,203.86/10,513.78
  6. Step 6: Final answer
    x = 5,243.33

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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.