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Finding the Fourth Proportional to 4,285, 6,429.06 and 4,258.24

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Solution

The fourth proportional to 4,285, 6,429.06 and 4,258.24 is: 6,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285 : 6,429.06 = 4,258.24 : x
  2. Step 2: Convert to fraction form
    4,285/6,429.06 = 4,258.24/x
  3. Step 3: Cross multiply
    4,285x = 6,429.06 × 4,258.24
  4. Step 4: Simplify right side
    4,285x = 27,376,480.45
  5. Step 5: Solve for x
    x = 27,376,480.45/4,285
  6. Step 6: Final answer
    x = 6,388.91

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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.