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Finding the Fourth Proportional to 3,116.56, 4,675.68 and 926.08

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Solution

The fourth proportional to 3,116.56, 4,675.68 and 926.08 is: 1,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.56 : 4,675.68 = 926.08 : x
  2. Step 2: Convert to fraction form
    3,116.56/4,675.68 = 926.08/x
  3. Step 3: Cross multiply
    3,116.56x = 4,675.68 × 926.08
  4. Step 4: Simplify right side
    3,116.56x = 4,330,053.73
  5. Step 5: Solve for x
    x = 4,330,053.73/3,116.56
  6. Step 6: Final answer
    x = 1,389.37

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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.