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Finding the Fourth Proportional to 11,789.58, 17,678.64 and 6,860.94

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Solution

The fourth proportional to 11,789.58, 17,678.64 and 6,860.94 is: 10,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.58 : 17,678.64 = 6,860.94 : x
  2. Step 2: Convert to fraction form
    11,789.58/17,678.64 = 6,860.94/x
  3. Step 3: Cross multiply
    11,789.58x = 17,678.64 × 6,860.94
  4. Step 4: Simplify right side
    11,789.58x = 121,292,088.32
  5. Step 5: Solve for x
    x = 121,292,088.32/11,789.58
  6. Step 6: Final answer
    x = 10,288.08

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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.