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Finding the Fourth Proportional to 8,419.71, 11,619.29 and 4,643.03

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Solution

The fourth proportional to 8,419.71, 11,619.29 and 4,643.03 is: 6,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.71 : 11,619.29 = 4,643.03 : x
  2. Step 2: Convert to fraction form
    8,419.71/11,619.29 = 4,643.03/x
  3. Step 3: Cross multiply
    8,419.71x = 11,619.29 × 4,643.03
  4. Step 4: Simplify right side
    8,419.71x = 53,948,712.05
  5. Step 5: Solve for x
    x = 53,948,712.05/8,419.71
  6. Step 6: Final answer
    x = 6,407.43

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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.