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Finding the Fourth Proportional to 7,856.52, 11,786.60 and 2,309.91

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Solution

The fourth proportional to 7,856.52, 11,786.60 and 2,309.91 is: 3,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.52 : 11,786.60 = 2,309.91 : x
  2. Step 2: Convert to fraction form
    7,856.52/11,786.60 = 2,309.91/x
  3. Step 3: Cross multiply
    7,856.52x = 11,786.60 × 2,309.91
  4. Step 4: Simplify right side
    7,856.52x = 27,225,985.21
  5. Step 5: Solve for x
    x = 27,225,985.21/7,856.52
  6. Step 6: Final answer
    x = 3,465.40

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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.