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Finding the Fourth Proportional to 6,407.02, 8,838.48 and 3,754

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Solution

The fourth proportional to 6,407.02, 8,838.48 and 3,754 is: 5,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.02 : 8,838.48 = 3,754 : x
  2. Step 2: Convert to fraction form
    6,407.02/8,838.48 = 3,754/x
  3. Step 3: Cross multiply
    6,407.02x = 8,838.48 × 3,754
  4. Step 4: Simplify right side
    6,407.02x = 33,179,653.92
  5. Step 5: Solve for x
    x = 33,179,653.92/6,407.02
  6. Step 6: Final answer
    x = 5,178.64

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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.