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Finding the Fourth Proportional to 8,402.42, 12,599.99 and 2,557.67

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Solution

The fourth proportional to 8,402.42, 12,599.99 and 2,557.67 is: 3,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.42 : 12,599.99 = 2,557.67 : x
  2. Step 2: Convert to fraction form
    8,402.42/12,599.99 = 2,557.67/x
  3. Step 3: Cross multiply
    8,402.42x = 12,599.99 × 2,557.67
  4. Step 4: Simplify right side
    8,402.42x = 32,226,540.64
  5. Step 5: Solve for x
    x = 32,226,540.64/8,402.42
  6. Step 6: Final answer
    x = 3,835.39

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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.