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Finding the Fourth Proportional to 5,114, 7,672.80 and 2,518.76

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Solution

The fourth proportional to 5,114, 7,672.80 and 2,518.76 is: 3,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114 : 7,672.80 = 2,518.76 : x
  2. Step 2: Convert to fraction form
    5,114/7,672.80 = 2,518.76/x
  3. Step 3: Cross multiply
    5,114x = 7,672.80 × 2,518.76
  4. Step 4: Simplify right side
    5,114x = 19,325,941.73
  5. Step 5: Solve for x
    x = 19,325,941.73/5,114
  6. Step 6: Final answer
    x = 3,779.03

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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.