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Finding the Fourth Proportional to 6,406.94, 9,607.80 and 2,896.81

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Solution

The fourth proportional to 6,406.94, 9,607.80 and 2,896.81 is: 4,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.94 : 9,607.80 = 2,896.81 : x
  2. Step 2: Convert to fraction form
    6,406.94/9,607.80 = 2,896.81/x
  3. Step 3: Cross multiply
    6,406.94x = 9,607.80 × 2,896.81
  4. Step 4: Simplify right side
    6,406.94x = 27,831,971.12
  5. Step 5: Solve for x
    x = 27,831,971.12/6,406.94
  6. Step 6: Final answer
    x = 4,344.03

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1.5x scale

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.