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Finding the Fourth Proportional to 6,400, 9,603.78 and 2,701.99

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Solution

The fourth proportional to 6,400, 9,603.78 and 2,701.99 is: 4,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400 : 9,603.78 = 2,701.99 : x
  2. Step 2: Convert to fraction form
    6,400/9,603.78 = 2,701.99/x
  3. Step 3: Cross multiply
    6,400x = 9,603.78 × 2,701.99
  4. Step 4: Simplify right side
    6,400x = 25,949,317.52
  5. Step 5: Solve for x
    x = 25,949,317.52/6,400
  6. Step 6: Final answer
    x = 4,054.58

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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.