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Finding the Fourth Proportional to 13,582.36, 18,742.98 and 7,993

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Solution

The fourth proportional to 13,582.36, 18,742.98 and 7,993 is: 11,029.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.36 : 18,742.98 = 7,993 : x
  2. Step 2: Convert to fraction form
    13,582.36/18,742.98 = 7,993/x
  3. Step 3: Cross multiply
    13,582.36x = 18,742.98 × 7,993
  4. Step 4: Simplify right side
    13,582.36x = 149,812,639.14
  5. Step 5: Solve for x
    x = 149,812,639.14/13,582.36
  6. Step 6: Final answer
    x = 11,029.94

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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.