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Finding the Fourth Proportional to 2,970.98, 4,099.95 and 1,644.88

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Solution

The fourth proportional to 2,970.98, 4,099.95 and 1,644.88 is: 2,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.98 : 4,099.95 = 1,644.88 : x
  2. Step 2: Convert to fraction form
    2,970.98/4,099.95 = 1,644.88/x
  3. Step 3: Cross multiply
    2,970.98x = 4,099.95 × 1,644.88
  4. Step 4: Simplify right side
    2,970.98x = 6,743,915.51
  5. Step 5: Solve for x
    x = 6,743,915.51/2,970.98
  6. Step 6: Final answer
    x = 2,269.93

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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.