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Finding the Fourth Proportional to 13,802.16, 20,705.68 and 5,042.82

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Solution

The fourth proportional to 13,802.16, 20,705.68 and 5,042.82 is: 7,565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.16 : 20,705.68 = 5,042.82 : x
  2. Step 2: Convert to fraction form
    13,802.16/20,705.68 = 5,042.82/x
  3. Step 3: Cross multiply
    13,802.16x = 20,705.68 × 5,042.82
  4. Step 4: Simplify right side
    13,802.16x = 104,415,017.22
  5. Step 5: Solve for x
    x = 104,415,017.22/13,802.16
  6. Step 6: Final answer
    x = 7,565.12

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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.