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Finding the Fourth Proportional to 1,914.51, 2,872.49 and 989.49

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Solution

The fourth proportional to 1,914.51, 2,872.49 and 989.49 is: 1,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.51 : 2,872.49 = 989.49 : x
  2. Step 2: Convert to fraction form
    1,914.51/2,872.49 = 989.49/x
  3. Step 3: Cross multiply
    1,914.51x = 2,872.49 × 989.49
  4. Step 4: Simplify right side
    1,914.51x = 2,842,280.82
  5. Step 5: Solve for x
    x = 2,842,280.82/1,914.51
  6. Step 6: Final answer
    x = 1,484.60

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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.