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Finding the Fourth Proportional to 2,109.51, 3,163.19 and 648.45

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Solution

The fourth proportional to 2,109.51, 3,163.19 and 648.45 is: 972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.51 : 3,163.19 = 648.45 : x
  2. Step 2: Convert to fraction form
    2,109.51/3,163.19 = 648.45/x
  3. Step 3: Cross multiply
    2,109.51x = 3,163.19 × 648.45
  4. Step 4: Simplify right side
    2,109.51x = 2,051,167.31
  5. Step 5: Solve for x
    x = 2,051,167.31/2,109.51
  6. Step 6: Final answer
    x = 972.34

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1.5x scale

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.