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Finding the Fourth Proportional to 6,809.78, 10,215.04 and 2,130.14

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Solution

The fourth proportional to 6,809.78, 10,215.04 and 2,130.14 is: 3,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.78 : 10,215.04 = 2,130.14 : x
  2. Step 2: Convert to fraction form
    6,809.78/10,215.04 = 2,130.14/x
  3. Step 3: Cross multiply
    6,809.78x = 10,215.04 × 2,130.14
  4. Step 4: Simplify right side
    6,809.78x = 21,759,465.31
  5. Step 5: Solve for x
    x = 21,759,465.31/6,809.78
  6. Step 6: Final answer
    x = 3,195.33

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1.5x scale

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.