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Finding the Fourth Proportional to 13,683.84, 20,523.52 and 6,288

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Solution

The fourth proportional to 13,683.84, 20,523.52 and 6,288 is: 9,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.84 : 20,523.52 = 6,288 : x
  2. Step 2: Convert to fraction form
    13,683.84/20,523.52 = 6,288/x
  3. Step 3: Cross multiply
    13,683.84x = 20,523.52 × 6,288
  4. Step 4: Simplify right side
    13,683.84x = 129,051,893.76
  5. Step 5: Solve for x
    x = 129,051,893.76/13,683.84
  6. Step 6: Final answer
    x = 9,430.97

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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.