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Finding the Fourth Proportional to 1,970.01, 2,947.50 and 1,219.64

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Solution

The fourth proportional to 1,970.01, 2,947.50 and 1,219.64 is: 1,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.01 : 2,947.50 = 1,219.64 : x
  2. Step 2: Convert to fraction form
    1,970.01/2,947.50 = 1,219.64/x
  3. Step 3: Cross multiply
    1,970.01x = 2,947.50 × 1,219.64
  4. Step 4: Simplify right side
    1,970.01x = 3,594,874.16
  5. Step 5: Solve for x
    x = 3,594,874.16/1,970.01
  6. Step 6: Final answer
    x = 1,824.80

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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.