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Finding the Fourth Proportional to 13,802.29, 20,703.78 and 5,037.21

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Solution

The fourth proportional to 13,802.29, 20,703.78 and 5,037.21 is: 7,555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.29 : 20,703.78 = 5,037.21 : x
  2. Step 2: Convert to fraction form
    13,802.29/20,703.78 = 5,037.21/x
  3. Step 3: Cross multiply
    13,802.29x = 20,703.78 × 5,037.21
  4. Step 4: Simplify right side
    13,802.29x = 104,289,287.65
  5. Step 5: Solve for x
    x = 104,289,287.65/13,802.29
  6. Step 6: Final answer
    x = 7,555.94

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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.