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Finding the Fourth Proportional to 2,110, 3,165.04 and 648.96

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Solution

The fourth proportional to 2,110, 3,165.04 and 648.96 is: 973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110 : 3,165.04 = 648.96 : x
  2. Step 2: Convert to fraction form
    2,110/3,165.04 = 648.96/x
  3. Step 3: Cross multiply
    2,110x = 3,165.04 × 648.96
  4. Step 4: Simplify right side
    2,110x = 2,053,984.36
  5. Step 5: Solve for x
    x = 2,053,984.36/2,110
  6. Step 6: Final answer
    x = 973.45

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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.