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Finding the Fourth Proportional to 8,138.64, 12,174.53 and 6,498.39

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Solution

The fourth proportional to 8,138.64, 12,174.53 and 6,498.39 is: 9,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.64 : 12,174.53 = 6,498.39 : x
  2. Step 2: Convert to fraction form
    8,138.64/12,174.53 = 6,498.39/x
  3. Step 3: Cross multiply
    8,138.64x = 12,174.53 × 6,498.39
  4. Step 4: Simplify right side
    8,138.64x = 79,114,811.51
  5. Step 5: Solve for x
    x = 79,114,811.51/8,138.64
  6. Step 6: Final answer
    x = 9,720.89

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1.5x scale

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.