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Finding the Fourth Proportional to 8,646.49, 12,969.30 and 2,406.46

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Solution

The fourth proportional to 8,646.49, 12,969.30 and 2,406.46 is: 3,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.49 : 12,969.30 = 2,406.46 : x
  2. Step 2: Convert to fraction form
    8,646.49/12,969.30 = 2,406.46/x
  3. Step 3: Cross multiply
    8,646.49x = 12,969.30 × 2,406.46
  4. Step 4: Simplify right side
    8,646.49x = 31,210,101.68
  5. Step 5: Solve for x
    x = 31,210,101.68/8,646.49
  6. Step 6: Final answer
    x = 3,609.57

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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.