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Finding the Fourth Proportional to 6,258.36, 8,643 and 5,415.02

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Solution

The fourth proportional to 6,258.36, 8,643 and 5,415.02 is: 7,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.36 : 8,643 = 5,415.02 : x
  2. Step 2: Convert to fraction form
    6,258.36/8,643 = 5,415.02/x
  3. Step 3: Cross multiply
    6,258.36x = 8,643 × 5,415.02
  4. Step 4: Simplify right side
    6,258.36x = 46,801,974.65
  5. Step 5: Solve for x
    x = 46,801,974.65/6,258.36
  6. Step 6: Final answer
    x = 7,478.31

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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.