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Finding the Fourth Proportional to 11,767, 16,238.56 and 6,461.68

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Solution

The fourth proportional to 11,767, 16,238.56 and 6,461.68 is: 8,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767 : 16,238.56 = 6,461.68 : x
  2. Step 2: Convert to fraction form
    11,767/16,238.56 = 6,461.68/x
  3. Step 3: Cross multiply
    11,767x = 16,238.56 × 6,461.68
  4. Step 4: Simplify right side
    11,767x = 104,928,378.38
  5. Step 5: Solve for x
    x = 104,928,378.38/11,767
  6. Step 6: Final answer
    x = 8,917.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.