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Finding the Fourth Proportional to 4,455, 6,147.91 and 2,465.69

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Solution

The fourth proportional to 4,455, 6,147.91 and 2,465.69 is: 3,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455 : 6,147.91 = 2,465.69 : x
  2. Step 2: Convert to fraction form
    4,455/6,147.91 = 2,465.69/x
  3. Step 3: Cross multiply
    4,455x = 6,147.91 × 2,465.69
  4. Step 4: Simplify right side
    4,455x = 15,158,840.21
  5. Step 5: Solve for x
    x = 15,158,840.21/4,455
  6. Step 6: Final answer
    x = 3,402.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.