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Finding the Fourth Proportional to 7,812.51, 10,786.30 and 6,971.78

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Solution

The fourth proportional to 7,812.51, 10,786.30 and 6,971.78 is: 9,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.51 : 10,786.30 = 6,971.78 : x
  2. Step 2: Convert to fraction form
    7,812.51/10,786.30 = 6,971.78/x
  3. Step 3: Cross multiply
    7,812.51x = 10,786.30 × 6,971.78
  4. Step 4: Simplify right side
    7,812.51x = 75,199,674.11
  5. Step 5: Solve for x
    x = 75,199,674.11/7,812.51
  6. Step 6: Final answer
    x = 9,625.54

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1.5x scale

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.