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Finding the Fourth Proportional to 2,744.27, 4,117.53 and 989.51

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Solution

The fourth proportional to 2,744.27, 4,117.53 and 989.51 is: 1,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.27 : 4,117.53 = 989.51 : x
  2. Step 2: Convert to fraction form
    2,744.27/4,117.53 = 989.51/x
  3. Step 3: Cross multiply
    2,744.27x = 4,117.53 × 989.51
  4. Step 4: Simplify right side
    2,744.27x = 4,074,337.11
  5. Step 5: Solve for x
    x = 4,074,337.11/2,744.27
  6. Step 6: Final answer
    x = 1,484.67

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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.