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Finding the Fourth Proportional to 6,166.40, 8,507.85 and 3,647.30

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Solution

The fourth proportional to 6,166.40, 8,507.85 and 3,647.30 is: 5,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.40 : 8,507.85 = 3,647.30 : x
  2. Step 2: Convert to fraction form
    6,166.40/8,507.85 = 3,647.30/x
  3. Step 3: Cross multiply
    6,166.40x = 8,507.85 × 3,647.30
  4. Step 4: Simplify right side
    6,166.40x = 31,030,681.31
  5. Step 5: Solve for x
    x = 31,030,681.31/6,166.40
  6. Step 6: Final answer
    x = 5,032.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.