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Finding the Fourth Proportional to 8,646.96, 12,969.09 and 3,100.17

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Solution

The fourth proportional to 8,646.96, 12,969.09 and 3,100.17 is: 4,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.96 : 12,969.09 = 3,100.17 : x
  2. Step 2: Convert to fraction form
    8,646.96/12,969.09 = 3,100.17/x
  3. Step 3: Cross multiply
    8,646.96x = 12,969.09 × 3,100.17
  4. Step 4: Simplify right side
    8,646.96x = 40,206,383.75
  5. Step 5: Solve for x
    x = 40,206,383.75/8,646.96
  6. Step 6: Final answer
    x = 4,649.77

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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.