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Finding the Fourth Proportional to 6,838.60, 10,254.90 and 3,139.60

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Solution

The fourth proportional to 6,838.60, 10,254.90 and 3,139.60 is: 4,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.60 : 10,254.90 = 3,139.60 : x
  2. Step 2: Convert to fraction form
    6,838.60/10,254.90 = 3,139.60/x
  3. Step 3: Cross multiply
    6,838.60x = 10,254.90 × 3,139.60
  4. Step 4: Simplify right side
    6,838.60x = 32,196,284.04
  5. Step 5: Solve for x
    x = 32,196,284.04/6,838.60
  6. Step 6: Final answer
    x = 4,708.02

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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.