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Finding the Fourth Proportional to 13,129.54, 18,115.95 and 7,826.11

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Solution

The fourth proportional to 13,129.54, 18,115.95 and 7,826.11 is: 10,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.54 : 18,115.95 = 7,826.11 : x
  2. Step 2: Convert to fraction form
    13,129.54/18,115.95 = 7,826.11/x
  3. Step 3: Cross multiply
    13,129.54x = 18,115.95 × 7,826.11
  4. Step 4: Simplify right side
    13,129.54x = 141,777,417.45
  5. Step 5: Solve for x
    x = 141,777,417.45/13,129.54
  6. Step 6: Final answer
    x = 10,798.35

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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.