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Finding the Fourth Proportional to 2,036, 2,809.80 and 1,239.88

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Solution

The fourth proportional to 2,036, 2,809.80 and 1,239.88 is: 1,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036 : 2,809.80 = 1,239.88 : x
  2. Step 2: Convert to fraction form
    2,036/2,809.80 = 1,239.88/x
  3. Step 3: Cross multiply
    2,036x = 2,809.80 × 1,239.88
  4. Step 4: Simplify right side
    2,036x = 3,483,814.82
  5. Step 5: Solve for x
    x = 3,483,814.82/2,036
  6. Step 6: Final answer
    x = 1,711.11

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Why These Related Problems?

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