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Finding the Fourth Proportional to 2,036.29, 3,054.93 and 649.63

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Solution

The fourth proportional to 2,036.29, 3,054.93 and 649.63 is: 974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.29 : 3,054.93 = 649.63 : x
  2. Step 2: Convert to fraction form
    2,036.29/3,054.93 = 649.63/x
  3. Step 3: Cross multiply
    2,036.29x = 3,054.93 × 649.63
  4. Step 4: Simplify right side
    2,036.29x = 1,984,564.34
  5. Step 5: Solve for x
    x = 1,984,564.34/2,036.29
  6. Step 6: Final answer
    x = 974.60

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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.