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Finding the Fourth Proportional to 5,676.84, 7,830 and 3,787.47

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Solution

The fourth proportional to 5,676.84, 7,830 and 3,787.47 is: 5,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.84 : 7,830 = 3,787.47 : x
  2. Step 2: Convert to fraction form
    5,676.84/7,830 = 3,787.47/x
  3. Step 3: Cross multiply
    5,676.84x = 7,830 × 3,787.47
  4. Step 4: Simplify right side
    5,676.84x = 29,655,890.10
  5. Step 5: Solve for x
    x = 29,655,890.10/5,676.84
  6. Step 6: Final answer
    x = 5,224.01

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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.