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Finding the Fourth Proportional to 10,419.84, 14,379.84 and 6,228

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Solution

The fourth proportional to 10,419.84, 14,379.84 and 6,228 is: 8,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.84 : 14,379.84 = 6,228 : x
  2. Step 2: Convert to fraction form
    10,419.84/14,379.84 = 6,228/x
  3. Step 3: Cross multiply
    10,419.84x = 14,379.84 × 6,228
  4. Step 4: Simplify right side
    10,419.84x = 89,557,643.52
  5. Step 5: Solve for x
    x = 89,557,643.52/10,419.84
  6. Step 6: Final answer
    x = 8,594.92

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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.