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Finding the Fourth Proportional to 13,090.96, 18,058.64 and 7,782

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Solution

The fourth proportional to 13,090.96, 18,058.64 and 7,782 is: 10,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.96 : 18,058.64 = 7,782 : x
  2. Step 2: Convert to fraction form
    13,090.96/18,058.64 = 7,782/x
  3. Step 3: Cross multiply
    13,090.96x = 18,058.64 × 7,782
  4. Step 4: Simplify right side
    13,090.96x = 140,532,336.48
  5. Step 5: Solve for x
    x = 140,532,336.48/13,090.96
  6. Step 6: Final answer
    x = 10,735.07

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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.