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Finding the Fourth Proportional to 11,873.81, 17,813.96 and 3,977.63

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Solution

The fourth proportional to 11,873.81, 17,813.96 and 3,977.63 is: 5,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.81 : 17,813.96 = 3,977.63 : x
  2. Step 2: Convert to fraction form
    11,873.81/17,813.96 = 3,977.63/x
  3. Step 3: Cross multiply
    11,873.81x = 17,813.96 × 3,977.63
  4. Step 4: Simplify right side
    11,873.81x = 70,857,341.71
  5. Step 5: Solve for x
    x = 70,857,341.71/11,873.81
  6. Step 6: Final answer
    x = 5,967.53

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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.