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Finding the Fourth Proportional to 2,036.45, 3,055.28 and 649.98

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Solution

The fourth proportional to 2,036.45, 3,055.28 and 649.98 is: 975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.45 : 3,055.28 = 649.98 : x
  2. Step 2: Convert to fraction form
    2,036.45/3,055.28 = 649.98/x
  3. Step 3: Cross multiply
    2,036.45x = 3,055.28 × 649.98
  4. Step 4: Simplify right side
    2,036.45x = 1,985,867.64
  5. Step 5: Solve for x
    x = 1,985,867.64/2,036.45
  6. Step 6: Final answer
    x = 975.16

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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.