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Finding the Fourth Proportional to 8,039.40, 12,055.14 and 3,358

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Solution

The fourth proportional to 8,039.40, 12,055.14 and 3,358 is: 5,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.40 : 12,055.14 = 3,358 : x
  2. Step 2: Convert to fraction form
    8,039.40/12,055.14 = 3,358/x
  3. Step 3: Cross multiply
    8,039.40x = 12,055.14 × 3,358
  4. Step 4: Simplify right side
    8,039.40x = 40,481,160.12
  5. Step 5: Solve for x
    x = 40,481,160.12/8,039.40
  6. Step 6: Final answer
    x = 5,035.35

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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.