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Finding the Fourth Proportional to 7,188.57, 10,782.14 and 2,258.08

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Solution

The fourth proportional to 7,188.57, 10,782.14 and 2,258.08 is: 3,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.57 : 10,782.14 = 2,258.08 : x
  2. Step 2: Convert to fraction form
    7,188.57/10,782.14 = 2,258.08/x
  3. Step 3: Cross multiply
    7,188.57x = 10,782.14 × 2,258.08
  4. Step 4: Simplify right side
    7,188.57x = 24,346,913.38
  5. Step 5: Solve for x
    x = 24,346,913.38/7,188.57
  6. Step 6: Final answer
    x = 3,386.89

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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.