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Finding the Fourth Proportional to 2,109.89, 3,165.32 and 648.95

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Solution

The fourth proportional to 2,109.89, 3,165.32 and 648.95 is: 973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.89 : 3,165.32 = 648.95 : x
  2. Step 2: Convert to fraction form
    2,109.89/3,165.32 = 648.95/x
  3. Step 3: Cross multiply
    2,109.89x = 3,165.32 × 648.95
  4. Step 4: Simplify right side
    2,109.89x = 2,054,134.41
  5. Step 5: Solve for x
    x = 2,054,134.41/2,109.89
  6. Step 6: Final answer
    x = 973.57

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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.