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Finding the Fourth Proportional to 4,455, 6,147.90 and 2,465.54

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Solution

The fourth proportional to 4,455, 6,147.90 and 2,465.54 is: 3,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455 : 6,147.90 = 2,465.54 : x
  2. Step 2: Convert to fraction form
    4,455/6,147.90 = 2,465.54/x
  3. Step 3: Cross multiply
    4,455x = 6,147.90 × 2,465.54
  4. Step 4: Simplify right side
    4,455x = 15,157,893.37
  5. Step 5: Solve for x
    x = 15,157,893.37/4,455
  6. Step 6: Final answer
    x = 3,402.45

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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.