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Finding the Fourth Proportional to 3,007.70, 4,148.74 and 1,946.82

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Solution

The fourth proportional to 3,007.70, 4,148.74 and 1,946.82 is: 2,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.70 : 4,148.74 = 1,946.82 : x
  2. Step 2: Convert to fraction form
    3,007.70/4,148.74 = 1,946.82/x
  3. Step 3: Cross multiply
    3,007.70x = 4,148.74 × 1,946.82
  4. Step 4: Simplify right side
    3,007.70x = 8,076,850.01
  5. Step 5: Solve for x
    x = 8,076,850.01/3,007.70
  6. Step 6: Final answer
    x = 2,685.39

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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.