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Finding the Fourth Proportional to 8,080.40, 12,109.80 and 3,458

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Solution

The fourth proportional to 8,080.40, 12,109.80 and 3,458 is: 5,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,080.40 : 12,109.80 = 3,458 : x
  2. Step 2: Convert to fraction form
    8,080.40/12,109.80 = 3,458/x
  3. Step 3: Cross multiply
    8,080.40x = 12,109.80 × 3,458
  4. Step 4: Simplify right side
    8,080.40x = 41,875,688.40
  5. Step 5: Solve for x
    x = 41,875,688.40/8,080.40
  6. Step 6: Final answer
    x = 5,182.38

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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.