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Finding the Fourth Proportional to 6,411.84, 8,848.40 and 3,759.29

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Solution

The fourth proportional to 6,411.84, 8,848.40 and 3,759.29 is: 5,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.84 : 8,848.40 = 3,759.29 : x
  2. Step 2: Convert to fraction form
    6,411.84/8,848.40 = 3,759.29/x
  3. Step 3: Cross multiply
    6,411.84x = 8,848.40 × 3,759.29
  4. Step 4: Simplify right side
    6,411.84x = 33,263,701.64
  5. Step 5: Solve for x
    x = 33,263,701.64/6,411.84
  6. Step 6: Final answer
    x = 5,187.86

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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.