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Finding the Fourth Proportional to 11,893.77, 17,828.51 and 7,742.12

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Solution

The fourth proportional to 11,893.77, 17,828.51 and 7,742.12 is: 11,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.77 : 17,828.51 = 7,742.12 : x
  2. Step 2: Convert to fraction form
    11,893.77/17,828.51 = 7,742.12/x
  3. Step 3: Cross multiply
    11,893.77x = 17,828.51 × 7,742.12
  4. Step 4: Simplify right side
    11,893.77x = 138,030,335.99
  5. Step 5: Solve for x
    x = 138,030,335.99/11,893.77
  6. Step 6: Final answer
    x = 11,605.26

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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.