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Finding the Fourth Proportional to 2,037.90, 3,055.69 and 650.91

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Solution

The fourth proportional to 2,037.90, 3,055.69 and 650.91 is: 975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.90 : 3,055.69 = 650.91 : x
  2. Step 2: Convert to fraction form
    2,037.90/3,055.69 = 650.91/x
  3. Step 3: Cross multiply
    2,037.90x = 3,055.69 × 650.91
  4. Step 4: Simplify right side
    2,037.90x = 1,988,979.18
  5. Step 5: Solve for x
    x = 1,988,979.18/2,037.90
  6. Step 6: Final answer
    x = 975.99

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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.