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Finding the Fourth Proportional to 7,806.58, 11,710.95 and 3,188.50

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Solution

The fourth proportional to 7,806.58, 11,710.95 and 3,188.50 is: 4,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.58 : 11,710.95 = 3,188.50 : x
  2. Step 2: Convert to fraction form
    7,806.58/11,710.95 = 3,188.50/x
  3. Step 3: Cross multiply
    7,806.58x = 11,710.95 × 3,188.50
  4. Step 4: Simplify right side
    7,806.58x = 37,340,364.08
  5. Step 5: Solve for x
    x = 37,340,364.08/7,806.58
  6. Step 6: Final answer
    x = 4,783.19

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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.