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Finding the Fourth Proportional to 8,493.70, 12,740.28 and 4,111.60

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Solution

The fourth proportional to 8,493.70, 12,740.28 and 4,111.60 is: 6,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.70 : 12,740.28 = 4,111.60 : x
  2. Step 2: Convert to fraction form
    8,493.70/12,740.28 = 4,111.60/x
  3. Step 3: Cross multiply
    8,493.70x = 12,740.28 × 4,111.60
  4. Step 4: Simplify right side
    8,493.70x = 52,382,935.25
  5. Step 5: Solve for x
    x = 52,382,935.25/8,493.70
  6. Step 6: Final answer
    x = 6,167.27

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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.