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Finding the Fourth Proportional to 13,090.32, 18,058.77 and 8,840

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Solution

The fourth proportional to 13,090.32, 18,058.77 and 8,840 is: 12,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.32 : 18,058.77 = 8,840 : x
  2. Step 2: Convert to fraction form
    13,090.32/18,058.77 = 8,840/x
  3. Step 3: Cross multiply
    13,090.32x = 18,058.77 × 8,840
  4. Step 4: Simplify right side
    13,090.32x = 159,639,526.80
  5. Step 5: Solve for x
    x = 159,639,526.80/13,090.32
  6. Step 6: Final answer
    x = 12,195.23

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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.