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Finding the Fourth Proportional to 8,438.34, 11,644.70 and 4,661.44

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Solution

The fourth proportional to 8,438.34, 11,644.70 and 4,661.44 is: 6,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.34 : 11,644.70 = 4,661.44 : x
  2. Step 2: Convert to fraction form
    8,438.34/11,644.70 = 4,661.44/x
  3. Step 3: Cross multiply
    8,438.34x = 11,644.70 × 4,661.44
  4. Step 4: Simplify right side
    8,438.34x = 54,281,070.37
  5. Step 5: Solve for x
    x = 54,281,070.37/8,438.34
  6. Step 6: Final answer
    x = 6,432.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.