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Finding the Fourth Proportional to 2,557.62, 3,835.62 and 1,445.67

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Solution

The fourth proportional to 2,557.62, 3,835.62 and 1,445.67 is: 2,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.62 : 3,835.62 = 1,445.67 : x
  2. Step 2: Convert to fraction form
    2,557.62/3,835.62 = 1,445.67/x
  3. Step 3: Cross multiply
    2,557.62x = 3,835.62 × 1,445.67
  4. Step 4: Simplify right side
    2,557.62x = 5,545,040.77
  5. Step 5: Solve for x
    x = 5,545,040.77/2,557.62
  6. Step 6: Final answer
    x = 2,168.05

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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.