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Finding the Fourth Proportional to 3,417, 5,130.20 and 2,448.60

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Solution

The fourth proportional to 3,417, 5,130.20 and 2,448.60 is: 3,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417 : 5,130.20 = 2,448.60 : x
  2. Step 2: Convert to fraction form
    3,417/5,130.20 = 2,448.60/x
  3. Step 3: Cross multiply
    3,417x = 5,130.20 × 2,448.60
  4. Step 4: Simplify right side
    3,417x = 12,561,807.72
  5. Step 5: Solve for x
    x = 12,561,807.72/3,417
  6. Step 6: Final answer
    x = 3,676.27

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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.