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Finding the Fourth Proportional to 6,384.74, 9,577.12 and 1,942.42

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Solution

The fourth proportional to 6,384.74, 9,577.12 and 1,942.42 is: 2,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.74 : 9,577.12 = 1,942.42 : x
  2. Step 2: Convert to fraction form
    6,384.74/9,577.12 = 1,942.42/x
  3. Step 3: Cross multiply
    6,384.74x = 9,577.12 × 1,942.42
  4. Step 4: Simplify right side
    6,384.74x = 18,602,789.43
  5. Step 5: Solve for x
    x = 18,602,789.43/6,384.74
  6. Step 6: Final answer
    x = 2,913.63

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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.