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Finding the Fourth Proportional to 2,109.84, 3,166.20 and 956.40

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Solution

The fourth proportional to 2,109.84, 3,166.20 and 956.40 is: 1,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.84 : 3,166.20 = 956.40 : x
  2. Step 2: Convert to fraction form
    2,109.84/3,166.20 = 956.40/x
  3. Step 3: Cross multiply
    2,109.84x = 3,166.20 × 956.40
  4. Step 4: Simplify right side
    2,109.84x = 3,028,153.68
  5. Step 5: Solve for x
    x = 3,028,153.68/2,109.84
  6. Step 6: Final answer
    x = 1,435.25

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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.