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Finding the Fourth Proportional to 6,968.94, 9,603.86 and 6,840.83

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Solution

The fourth proportional to 6,968.94, 9,603.86 and 6,840.83 is: 9,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.94 : 9,603.86 = 6,840.83 : x
  2. Step 2: Convert to fraction form
    6,968.94/9,603.86 = 6,840.83/x
  3. Step 3: Cross multiply
    6,968.94x = 9,603.86 × 6,840.83
  4. Step 4: Simplify right side
    6,968.94x = 65,698,341.21
  5. Step 5: Solve for x
    x = 65,698,341.21/6,968.94
  6. Step 6: Final answer
    x = 9,427.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.