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Finding the Fourth Proportional to 6,258, 9,388.80 and 2,154

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Solution

The fourth proportional to 6,258, 9,388.80 and 2,154 is: 3,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258 : 9,388.80 = 2,154 : x
  2. Step 2: Convert to fraction form
    6,258/9,388.80 = 2,154/x
  3. Step 3: Cross multiply
    6,258x = 9,388.80 × 2,154
  4. Step 4: Simplify right side
    6,258x = 20,223,475.20
  5. Step 5: Solve for x
    x = 20,223,475.20/6,258
  6. Step 6: Final answer
    x = 3,231.62

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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.