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Finding the Fourth Proportional to 2,406.87, 3,610.68 and 847.08

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Solution

The fourth proportional to 2,406.87, 3,610.68 and 847.08 is: 1,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.87 : 3,610.68 = 847.08 : x
  2. Step 2: Convert to fraction form
    2,406.87/3,610.68 = 847.08/x
  3. Step 3: Cross multiply
    2,406.87x = 3,610.68 × 847.08
  4. Step 4: Simplify right side
    2,406.87x = 3,058,534.81
  5. Step 5: Solve for x
    x = 3,058,534.81/2,406.87
  6. Step 6: Final answer
    x = 1,270.75

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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.