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Finding the Fourth Proportional to 1,970.28, 2,941.08 and 1,823.88

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Solution

The fourth proportional to 1,970.28, 2,941.08 and 1,823.88 is: 2,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.28 : 2,941.08 = 1,823.88 : x
  2. Step 2: Convert to fraction form
    1,970.28/2,941.08 = 1,823.88/x
  3. Step 3: Cross multiply
    1,970.28x = 2,941.08 × 1,823.88
  4. Step 4: Simplify right side
    1,970.28x = 5,364,176.99
  5. Step 5: Solve for x
    x = 5,364,176.99/1,970.28
  6. Step 6: Final answer
    x = 2,722.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.