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Finding the Fourth Proportional to 7,862.58, 11,795.60 and 2,599.20

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Solution

The fourth proportional to 7,862.58, 11,795.60 and 2,599.20 is: 3,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.58 : 11,795.60 = 2,599.20 : x
  2. Step 2: Convert to fraction form
    7,862.58/11,795.60 = 2,599.20/x
  3. Step 3: Cross multiply
    7,862.58x = 11,795.60 × 2,599.20
  4. Step 4: Simplify right side
    7,862.58x = 30,659,123.52
  5. Step 5: Solve for x
    x = 30,659,123.52/7,862.58
  6. Step 6: Final answer
    x = 3,899.37

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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.