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Finding the Fourth Proportional to 5,672.90, 7,828.53 and 3,155

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Solution

The fourth proportional to 5,672.90, 7,828.53 and 3,155 is: 4,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.90 : 7,828.53 = 3,155 : x
  2. Step 2: Convert to fraction form
    5,672.90/7,828.53 = 3,155/x
  3. Step 3: Cross multiply
    5,672.90x = 7,828.53 × 3,155
  4. Step 4: Simplify right side
    5,672.90x = 24,699,012.15
  5. Step 5: Solve for x
    x = 24,699,012.15/5,672.90
  6. Step 6: Final answer
    x = 4,353.86

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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.