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Finding the Fourth Proportional to 4,765.33, 7,140.13 and 1,643.64

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Solution

The fourth proportional to 4,765.33, 7,140.13 and 1,643.64 is: 2,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.33 : 7,140.13 = 1,643.64 : x
  2. Step 2: Convert to fraction form
    4,765.33/7,140.13 = 1,643.64/x
  3. Step 3: Cross multiply
    4,765.33x = 7,140.13 × 1,643.64
  4. Step 4: Simplify right side
    4,765.33x = 11,735,803.27
  5. Step 5: Solve for x
    x = 11,735,803.27/4,765.33
  6. Step 6: Final answer
    x = 2,462.75

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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.