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Finding the Fourth Proportional to 6,679.60, 10,020 and 1,749.16

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Solution

The fourth proportional to 6,679.60, 10,020 and 1,749.16 is: 2,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.60 : 10,020 = 1,749.16 : x
  2. Step 2: Convert to fraction form
    6,679.60/10,020 = 1,749.16/x
  3. Step 3: Cross multiply
    6,679.60x = 10,020 × 1,749.16
  4. Step 4: Simplify right side
    6,679.60x = 17,526,583.20
  5. Step 5: Solve for x
    x = 17,526,583.20/6,679.60
  6. Step 6: Final answer
    x = 2,623.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.