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Finding the Fourth Proportional to 12,461.43, 18,661.39 and 9,664.81

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Solution

The fourth proportional to 12,461.43, 18,661.39 and 9,664.81 is: 14,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.43 : 18,661.39 = 9,664.81 : x
  2. Step 2: Convert to fraction form
    12,461.43/18,661.39 = 9,664.81/x
  3. Step 3: Cross multiply
    12,461.43x = 18,661.39 × 9,664.81
  4. Step 4: Simplify right side
    12,461.43x = 180,358,788.69
  5. Step 5: Solve for x
    x = 180,358,788.69/12,461.43
  6. Step 6: Final answer
    x = 14,473.36

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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.