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Finding the Fourth Proportional to 1,990.02, 2,986.59 and 1,378.02

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Solution

The fourth proportional to 1,990.02, 2,986.59 and 1,378.02 is: 2,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.02 : 2,986.59 = 1,378.02 : x
  2. Step 2: Convert to fraction form
    1,990.02/2,986.59 = 1,378.02/x
  3. Step 3: Cross multiply
    1,990.02x = 2,986.59 × 1,378.02
  4. Step 4: Simplify right side
    1,990.02x = 4,115,572.57
  5. Step 5: Solve for x
    x = 4,115,572.57/1,990.02
  6. Step 6: Final answer
    x = 2,068.10

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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.