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Finding the Fourth Proportional to 6,805.90, 10,210.29 and 3,107.10

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Solution

The fourth proportional to 6,805.90, 10,210.29 and 3,107.10 is: 4,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.90 : 10,210.29 = 3,107.10 : x
  2. Step 2: Convert to fraction form
    6,805.90/10,210.29 = 3,107.10/x
  3. Step 3: Cross multiply
    6,805.90x = 10,210.29 × 3,107.10
  4. Step 4: Simplify right side
    6,805.90x = 31,724,392.06
  5. Step 5: Solve for x
    x = 31,724,392.06/6,805.90
  6. Step 6: Final answer
    x = 4,661.31

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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.