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Finding the Fourth Proportional to 5,429.84, 8,145.84 and 2,309.84

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Solution

The fourth proportional to 5,429.84, 8,145.84 and 2,309.84 is: 3,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.84 : 8,145.84 = 2,309.84 : x
  2. Step 2: Convert to fraction form
    5,429.84/8,145.84 = 2,309.84/x
  3. Step 3: Cross multiply
    5,429.84x = 8,145.84 × 2,309.84
  4. Step 4: Simplify right side
    5,429.84x = 18,815,587.07
  5. Step 5: Solve for x
    x = 18,815,587.07/5,429.84
  6. Step 6: Final answer
    x = 3,465.22

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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.