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Finding the Fourth Proportional to 8,768.75, 12,111.14 and 6,982.20

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Solution

The fourth proportional to 8,768.75, 12,111.14 and 6,982.20 is: 9,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768.75 : 12,111.14 = 6,982.20 : x
  2. Step 2: Convert to fraction form
    8,768.75/12,111.14 = 6,982.20/x
  3. Step 3: Cross multiply
    8,768.75x = 12,111.14 × 6,982.20
  4. Step 4: Simplify right side
    8,768.75x = 84,562,419.16
  5. Step 5: Solve for x
    x = 84,562,419.16/8,768.75
  6. Step 6: Final answer
    x = 9,643.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.