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Finding the Fourth Proportional to 13,184, 18,193.92 and 7,296

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Solution

The fourth proportional to 13,184, 18,193.92 and 7,296 is: 10,068.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184 : 18,193.92 = 7,296 : x
  2. Step 2: Convert to fraction form
    13,184/18,193.92 = 7,296/x
  3. Step 3: Cross multiply
    13,184x = 18,193.92 × 7,296
  4. Step 4: Simplify right side
    13,184x = 132,742,840.32
  5. Step 5: Solve for x
    x = 132,742,840.32/13,184
  6. Step 6: Final answer
    x = 10,068.48

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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.