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Finding the Fourth Proportional to 4,762.40, 7,143.60 and 1,645.93

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Solution

The fourth proportional to 4,762.40, 7,143.60 and 1,645.93 is: 2,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.40 : 7,143.60 = 1,645.93 : x
  2. Step 2: Convert to fraction form
    4,762.40/7,143.60 = 1,645.93/x
  3. Step 3: Cross multiply
    4,762.40x = 7,143.60 × 1,645.93
  4. Step 4: Simplify right side
    4,762.40x = 11,757,865.55
  5. Step 5: Solve for x
    x = 11,757,865.55/4,762.40
  6. Step 6: Final answer
    x = 2,468.90

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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.