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Finding the Fourth Proportional to 2,036, 3,052.46 and 802.76

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Solution

The fourth proportional to 2,036, 3,052.46 and 802.76 is: 1,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036 : 3,052.46 = 802.76 : x
  2. Step 2: Convert to fraction form
    2,036/3,052.46 = 802.76/x
  3. Step 3: Cross multiply
    2,036x = 3,052.46 × 802.76
  4. Step 4: Simplify right side
    2,036x = 2,450,392.79
  5. Step 5: Solve for x
    x = 2,450,392.79/2,036
  6. Step 6: Final answer
    x = 1,203.53

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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.