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Finding the Fourth Proportional to 8,364.50, 11,543.02 and 4,638.50

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Solution

The fourth proportional to 8,364.50, 11,543.02 and 4,638.50 is: 6,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.50 : 11,543.02 = 4,638.50 : x
  2. Step 2: Convert to fraction form
    8,364.50/11,543.02 = 4,638.50/x
  3. Step 3: Cross multiply
    8,364.50x = 11,543.02 × 4,638.50
  4. Step 4: Simplify right side
    8,364.50x = 53,542,298.27
  5. Step 5: Solve for x
    x = 53,542,298.27/8,364.50
  6. Step 6: Final answer
    x = 6,401.14

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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.