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Finding the Fourth Proportional to 2,970.50, 4,099.65 and 1,728.50

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Solution

The fourth proportional to 2,970.50, 4,099.65 and 1,728.50 is: 2,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.50 : 4,099.65 = 1,728.50 : x
  2. Step 2: Convert to fraction form
    2,970.50/4,099.65 = 1,728.50/x
  3. Step 3: Cross multiply
    2,970.50x = 4,099.65 × 1,728.50
  4. Step 4: Simplify right side
    2,970.50x = 7,086,245.03
  5. Step 5: Solve for x
    x = 7,086,245.03/2,970.50
  6. Step 6: Final answer
    x = 2,385.54

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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.