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Finding the Fourth Proportional to 13,313.25, 19,970.24 and 4,079.25

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Solution

The fourth proportional to 13,313.25, 19,970.24 and 4,079.25 is: 6,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313.25 : 19,970.24 = 4,079.25 : x
  2. Step 2: Convert to fraction form
    13,313.25/19,970.24 = 4,079.25/x
  3. Step 3: Cross multiply
    13,313.25x = 19,970.24 × 4,079.25
  4. Step 4: Simplify right side
    13,313.25x = 81,463,581.12
  5. Step 5: Solve for x
    x = 81,463,581.12/13,313.25
  6. Step 6: Final answer
    x = 6,118.99

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Why These Related Problems?

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