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Finding the Fourth Proportional to 13,598.45, 20,383.07 and 5,698.99

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Solution

The fourth proportional to 13,598.45, 20,383.07 and 5,698.99 is: 8,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.45 : 20,383.07 = 5,698.99 : x
  2. Step 2: Convert to fraction form
    13,598.45/20,383.07 = 5,698.99/x
  3. Step 3: Cross multiply
    13,598.45x = 20,383.07 × 5,698.99
  4. Step 4: Simplify right side
    13,598.45x = 116,162,810.18
  5. Step 5: Solve for x
    x = 116,162,810.18/13,598.45
  6. Step 6: Final answer
    x = 8,542.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.