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Finding the Fourth Proportional to 9,202.74, 12,631.68 and 8,710.68

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Solution

The fourth proportional to 9,202.74, 12,631.68 and 8,710.68 is: 11,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.74 : 12,631.68 = 8,710.68 : x
  2. Step 2: Convert to fraction form
    9,202.74/12,631.68 = 8,710.68/x
  3. Step 3: Cross multiply
    9,202.74x = 12,631.68 × 8,710.68
  4. Step 4: Simplify right side
    9,202.74x = 110,030,522.34
  5. Step 5: Solve for x
    x = 110,030,522.34/9,202.74
  6. Step 6: Final answer
    x = 11,956.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.