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Finding the Fourth Proportional to 8,240.94, 11,368.86 and 6,477.68

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Solution

The fourth proportional to 8,240.94, 11,368.86 and 6,477.68 is: 8,936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.94 : 11,368.86 = 6,477.68 : x
  2. Step 2: Convert to fraction form
    8,240.94/11,368.86 = 6,477.68/x
  3. Step 3: Cross multiply
    8,240.94x = 11,368.86 × 6,477.68
  4. Step 4: Simplify right side
    8,240.94x = 73,643,837.04
  5. Step 5: Solve for x
    x = 73,643,837.04/8,240.94
  6. Step 6: Final answer
    x = 8,936.34

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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.