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Finding the Fourth Proportional to 9,200.25, 13,805.01 and 4,202.06

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Solution

The fourth proportional to 9,200.25, 13,805.01 and 4,202.06 is: 6,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.25 : 13,805.01 = 4,202.06 : x
  2. Step 2: Convert to fraction form
    9,200.25/13,805.01 = 4,202.06/x
  3. Step 3: Cross multiply
    9,200.25x = 13,805.01 × 4,202.06
  4. Step 4: Simplify right side
    9,200.25x = 58,009,411.30
  5. Step 5: Solve for x
    x = 58,009,411.30/9,200.25
  6. Step 6: Final answer
    x = 6,305.20

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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.