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Finding the Fourth Proportional to 6,302.25, 9,455.01 and 2,407.77

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Solution

The fourth proportional to 6,302.25, 9,455.01 and 2,407.77 is: 3,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.25 : 9,455.01 = 2,407.77 : x
  2. Step 2: Convert to fraction form
    6,302.25/9,455.01 = 2,407.77/x
  3. Step 3: Cross multiply
    6,302.25x = 9,455.01 × 2,407.77
  4. Step 4: Simplify right side
    6,302.25x = 22,765,489.43
  5. Step 5: Solve for x
    x = 22,765,489.43/6,302.25
  6. Step 6: Final answer
    x = 3,612.28

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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.