Home / 4,941.56-7,411.80-1,478

Finding the Fourth Proportional to 4,941.56, 7,411.80 and 1,478

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Solution

The fourth proportional to 4,941.56, 7,411.80 and 1,478 is: 2,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.56 : 7,411.80 = 1,478 : x
  2. Step 2: Convert to fraction form
    4,941.56/7,411.80 = 1,478/x
  3. Step 3: Cross multiply
    4,941.56x = 7,411.80 × 1,478
  4. Step 4: Simplify right side
    4,941.56x = 10,954,640.40
  5. Step 5: Solve for x
    x = 10,954,640.40/4,941.56
  6. Step 6: Final answer
    x = 2,216.84

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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.