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Finding the Fourth Proportional to 3,102.60, 4,659.30 and 3,005.40

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Solution

The fourth proportional to 3,102.60, 4,659.30 and 3,005.40 is: 4,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.60 : 4,659.30 = 3,005.40 : x
  2. Step 2: Convert to fraction form
    3,102.60/4,659.30 = 3,005.40/x
  3. Step 3: Cross multiply
    3,102.60x = 4,659.30 × 3,005.40
  4. Step 4: Simplify right side
    3,102.60x = 14,003,060.22
  5. Step 5: Solve for x
    x = 14,003,060.22/3,102.60
  6. Step 6: Final answer
    x = 4,513.33

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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.