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Finding the Fourth Proportional to 6,102.59, 8,419.19 and 3,980.61

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Solution

The fourth proportional to 6,102.59, 8,419.19 and 3,980.61 is: 5,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.59 : 8,419.19 = 3,980.61 : x
  2. Step 2: Convert to fraction form
    6,102.59/8,419.19 = 3,980.61/x
  3. Step 3: Cross multiply
    6,102.59x = 8,419.19 × 3,980.61
  4. Step 4: Simplify right side
    6,102.59x = 33,513,492.00
  5. Step 5: Solve for x
    x = 33,513,492.00/6,102.59
  6. Step 6: Final answer
    x = 5,491.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.