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Finding the Fourth Proportional to 6,875.78, 10,314.06 and 2,258.78

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Solution

The fourth proportional to 6,875.78, 10,314.06 and 2,258.78 is: 3,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.78 : 10,314.06 = 2,258.78 : x
  2. Step 2: Convert to fraction form
    6,875.78/10,314.06 = 2,258.78/x
  3. Step 3: Cross multiply
    6,875.78x = 10,314.06 × 2,258.78
  4. Step 4: Simplify right side
    6,875.78x = 23,297,192.45
  5. Step 5: Solve for x
    x = 23,297,192.45/6,875.78
  6. Step 6: Final answer
    x = 3,388.30

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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.