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Finding the Fourth Proportional to 5,187.84, 7,785 and 3,779.64

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Solution

The fourth proportional to 5,187.84, 7,785 and 3,779.64 is: 5,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.84 : 7,785 = 3,779.64 : x
  2. Step 2: Convert to fraction form
    5,187.84/7,785 = 3,779.64/x
  3. Step 3: Cross multiply
    5,187.84x = 7,785 × 3,779.64
  4. Step 4: Simplify right side
    5,187.84x = 29,424,497.40
  5. Step 5: Solve for x
    x = 29,424,497.40/5,187.84
  6. Step 6: Final answer
    x = 5,671.82

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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.