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Finding the Fourth Proportional to 13,765.71, 18,997.83 and 8,461.83

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Solution

The fourth proportional to 13,765.71, 18,997.83 and 8,461.83 is: 11,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.71 : 18,997.83 = 8,461.83 : x
  2. Step 2: Convert to fraction form
    13,765.71/18,997.83 = 8,461.83/x
  3. Step 3: Cross multiply
    13,765.71x = 18,997.83 × 8,461.83
  4. Step 4: Simplify right side
    13,765.71x = 160,756,407.83
  5. Step 5: Solve for x
    x = 160,756,407.83/13,765.71
  6. Step 6: Final answer
    x = 11,678.03

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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.