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Finding the Fourth Proportional to 1,914.01, 2,871.74 and 988.99

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Solution

The fourth proportional to 1,914.01, 2,871.74 and 988.99 is: 1,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.01 : 2,871.74 = 988.99 : x
  2. Step 2: Convert to fraction form
    1,914.01/2,871.74 = 988.99/x
  3. Step 3: Cross multiply
    1,914.01x = 2,871.74 × 988.99
  4. Step 4: Simplify right side
    1,914.01x = 2,840,102.84
  5. Step 5: Solve for x
    x = 2,840,102.84/1,914.01
  6. Step 6: Final answer
    x = 1,483.85

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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.