Home / 5,115-7,673.20-1,827.36

Finding the Fourth Proportional to 5,115, 7,673.20 and 1,827.36

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Solution

The fourth proportional to 5,115, 7,673.20 and 1,827.36 is: 2,741.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115 : 7,673.20 = 1,827.36 : x
  2. Step 2: Convert to fraction form
    5,115/7,673.20 = 1,827.36/x
  3. Step 3: Cross multiply
    5,115x = 7,673.20 × 1,827.36
  4. Step 4: Simplify right side
    5,115x = 14,021,698.75
  5. Step 5: Solve for x
    x = 14,021,698.75/5,115
  6. Step 6: Final answer
    x = 2,741.29

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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.