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Finding the Fourth Proportional to 3,946.98, 5,920.46 and 985.41

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Solution

The fourth proportional to 3,946.98, 5,920.46 and 985.41 is: 1,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.98 : 5,920.46 = 985.41 : x
  2. Step 2: Convert to fraction form
    3,946.98/5,920.46 = 985.41/x
  3. Step 3: Cross multiply
    3,946.98x = 5,920.46 × 985.41
  4. Step 4: Simplify right side
    3,946.98x = 5,834,075.56
  5. Step 5: Solve for x
    x = 5,834,075.56/3,946.98
  6. Step 6: Final answer
    x = 1,478.11

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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.