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Finding the Fourth Proportional to 7,891.43, 10,894.07 and 6,186.93

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Solution

The fourth proportional to 7,891.43, 10,894.07 and 6,186.93 is: 8,541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.43 : 10,894.07 = 6,186.93 : x
  2. Step 2: Convert to fraction form
    7,891.43/10,894.07 = 6,186.93/x
  3. Step 3: Cross multiply
    7,891.43x = 10,894.07 × 6,186.93
  4. Step 4: Simplify right side
    7,891.43x = 67,400,867.00
  5. Step 5: Solve for x
    x = 67,400,867.00/7,891.43
  6. Step 6: Final answer
    x = 8,541.03

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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.