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Finding the Fourth Proportional to 19,802.20, 29,688.90 and 8,109.40

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Solution

The fourth proportional to 19,802.20, 29,688.90 and 8,109.40 is: 12,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.20 : 29,688.90 = 8,109.40 : x
  2. Step 2: Convert to fraction form
    19,802.20/29,688.90 = 8,109.40/x
  3. Step 3: Cross multiply
    19,802.20x = 29,688.90 × 8,109.40
  4. Step 4: Simplify right side
    19,802.20x = 240,759,165.66
  5. Step 5: Solve for x
    x = 240,759,165.66/19,802.20
  6. Step 6: Final answer
    x = 12,158.20

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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.