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Finding the Fourth Proportional to 4,987.36, 7,471.28 and 3,827.44

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Solution

The fourth proportional to 4,987.36, 7,471.28 and 3,827.44 is: 5,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.36 : 7,471.28 = 3,827.44 : x
  2. Step 2: Convert to fraction form
    4,987.36/7,471.28 = 3,827.44/x
  3. Step 3: Cross multiply
    4,987.36x = 7,471.28 × 3,827.44
  4. Step 4: Simplify right side
    4,987.36x = 28,595,875.92
  5. Step 5: Solve for x
    x = 28,595,875.92/4,987.36
  6. Step 6: Final answer
    x = 5,733.67

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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.