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Finding the Fourth Proportional to 3,913.84, 5,870.46 and 1,722.58

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Solution

The fourth proportional to 3,913.84, 5,870.46 and 1,722.58 is: 2,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.84 : 5,870.46 = 1,722.58 : x
  2. Step 2: Convert to fraction form
    3,913.84/5,870.46 = 1,722.58/x
  3. Step 3: Cross multiply
    3,913.84x = 5,870.46 × 1,722.58
  4. Step 4: Simplify right side
    3,913.84x = 10,112,336.99
  5. Step 5: Solve for x
    x = 10,112,336.99/3,913.84
  6. Step 6: Final answer
    x = 2,583.74

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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.