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Finding the Fourth Proportional to 8,762.37, 13,135.74 and 3,214.42

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Solution

The fourth proportional to 8,762.37, 13,135.74 and 3,214.42 is: 4,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.37 : 13,135.74 = 3,214.42 : x
  2. Step 2: Convert to fraction form
    8,762.37/13,135.74 = 3,214.42/x
  3. Step 3: Cross multiply
    8,762.37x = 13,135.74 × 3,214.42
  4. Step 4: Simplify right side
    8,762.37x = 42,223,785.37
  5. Step 5: Solve for x
    x = 42,223,785.37/8,762.37
  6. Step 6: Final answer
    x = 4,818.76

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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.