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Finding the Fourth Proportional to 2,036.50, 2,810.48 and 1,290.20

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Solution

The fourth proportional to 2,036.50, 2,810.48 and 1,290.20 is: 1,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.50 : 2,810.48 = 1,290.20 : x
  2. Step 2: Convert to fraction form
    2,036.50/2,810.48 = 1,290.20/x
  3. Step 3: Cross multiply
    2,036.50x = 2,810.48 × 1,290.20
  4. Step 4: Simplify right side
    2,036.50x = 3,626,081.30
  5. Step 5: Solve for x
    x = 3,626,081.30/2,036.50
  6. Step 6: Final answer
    x = 1,780.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.