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Finding the Fourth Proportional to 6,512.10, 9,768.72 and 2,130

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Solution

The fourth proportional to 6,512.10, 9,768.72 and 2,130 is: 3,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.10 : 9,768.72 = 2,130 : x
  2. Step 2: Convert to fraction form
    6,512.10/9,768.72 = 2,130/x
  3. Step 3: Cross multiply
    6,512.10x = 9,768.72 × 2,130
  4. Step 4: Simplify right side
    6,512.10x = 20,807,373.60
  5. Step 5: Solve for x
    x = 20,807,373.60/6,512.10
  6. Step 6: Final answer
    x = 3,195.19

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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.