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Finding the Fourth Proportional to 7,797.76, 11,698.40 and 2,603.50

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Solution

The fourth proportional to 7,797.76, 11,698.40 and 2,603.50 is: 3,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.76 : 11,698.40 = 2,603.50 : x
  2. Step 2: Convert to fraction form
    7,797.76/11,698.40 = 2,603.50/x
  3. Step 3: Cross multiply
    7,797.76x = 11,698.40 × 2,603.50
  4. Step 4: Simplify right side
    7,797.76x = 30,456,784.40
  5. Step 5: Solve for x
    x = 30,456,784.40/7,797.76
  6. Step 6: Final answer
    x = 3,905.84

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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.