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Finding the Fourth Proportional to 22,477.60, 33,705.96 and 13,120.32

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Solution

The fourth proportional to 22,477.60, 33,705.96 and 13,120.32 is: 19,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.60 : 33,705.96 = 13,120.32 : x
  2. Step 2: Convert to fraction form
    22,477.60/33,705.96 = 13,120.32/x
  3. Step 3: Cross multiply
    22,477.60x = 33,705.96 × 13,120.32
  4. Step 4: Simplify right side
    22,477.60x = 442,232,981.11
  5. Step 5: Solve for x
    x = 442,232,981.11/22,477.60
  6. Step 6: Final answer
    x = 19,674.39

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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.