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Finding the Fourth Proportional to 11,856.39, 17,783.19 and 7,952.55

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Solution

The fourth proportional to 11,856.39, 17,783.19 and 7,952.55 is: 11,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.39 : 17,783.19 = 7,952.55 : x
  2. Step 2: Convert to fraction form
    11,856.39/17,783.19 = 7,952.55/x
  3. Step 3: Cross multiply
    11,856.39x = 17,783.19 × 7,952.55
  4. Step 4: Simplify right side
    11,856.39x = 141,421,707.63
  5. Step 5: Solve for x
    x = 141,421,707.63/11,856.39
  6. Step 6: Final answer
    x = 11,927.89

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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.