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Finding the Fourth Proportional to 6,812.51, 10,222.40 and 6,690.40

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Solution

The fourth proportional to 6,812.51, 10,222.40 and 6,690.40 is: 10,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.51 : 10,222.40 = 6,690.40 : x
  2. Step 2: Convert to fraction form
    6,812.51/10,222.40 = 6,690.40/x
  3. Step 3: Cross multiply
    6,812.51x = 10,222.40 × 6,690.40
  4. Step 4: Simplify right side
    6,812.51x = 68,391,936.13
  5. Step 5: Solve for x
    x = 68,391,936.13/6,812.51
  6. Step 6: Final answer
    x = 10,039.18

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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.