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Finding the Fourth Proportional to 2,970.84, 4,099.71 and 1,644.53

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Solution

The fourth proportional to 2,970.84, 4,099.71 and 1,644.53 is: 2,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.84 : 4,099.71 = 1,644.53 : x
  2. Step 2: Convert to fraction form
    2,970.84/4,099.71 = 1,644.53/x
  3. Step 3: Cross multiply
    2,970.84x = 4,099.71 × 1,644.53
  4. Step 4: Simplify right side
    2,970.84x = 6,742,096.09
  5. Step 5: Solve for x
    x = 6,742,096.09/2,970.84
  6. Step 6: Final answer
    x = 2,269.42

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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.