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Finding the Fourth Proportional to 2,110.65, 3,165.93 and 649.77

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Solution

The fourth proportional to 2,110.65, 3,165.93 and 649.77 is: 974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.65 : 3,165.93 = 649.77 : x
  2. Step 2: Convert to fraction form
    2,110.65/3,165.93 = 649.77/x
  3. Step 3: Cross multiply
    2,110.65x = 3,165.93 × 649.77
  4. Step 4: Simplify right side
    2,110.65x = 2,057,126.34
  5. Step 5: Solve for x
    x = 2,057,126.34/2,110.65
  6. Step 6: Final answer
    x = 974.64

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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.