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Finding the Fourth Proportional to 12,802.15, 19,191.93 and 6,135.04

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Solution

The fourth proportional to 12,802.15, 19,191.93 and 6,135.04 is: 9,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.15 : 19,191.93 = 6,135.04 : x
  2. Step 2: Convert to fraction form
    12,802.15/19,191.93 = 6,135.04/x
  3. Step 3: Cross multiply
    12,802.15x = 19,191.93 × 6,135.04
  4. Step 4: Simplify right side
    12,802.15x = 117,743,258.23
  5. Step 5: Solve for x
    x = 117,743,258.23/12,802.15
  6. Step 6: Final answer
    x = 9,197.15

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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.