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Finding the Fourth Proportional to 7,186.63, 10,780.46 and 1,921.63

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Solution

The fourth proportional to 7,186.63, 10,780.46 and 1,921.63 is: 2,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.63 : 10,780.46 = 1,921.63 : x
  2. Step 2: Convert to fraction form
    7,186.63/10,780.46 = 1,921.63/x
  3. Step 3: Cross multiply
    7,186.63x = 10,780.46 × 1,921.63
  4. Step 4: Simplify right side
    7,186.63x = 20,716,055.35
  5. Step 5: Solve for x
    x = 20,716,055.35/7,186.63
  6. Step 6: Final answer
    x = 2,882.58

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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.