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Finding the Fourth Proportional to 5,638.47, 8,446.77 and 4,155

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Solution

The fourth proportional to 5,638.47, 8,446.77 and 4,155 is: 6,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.47 : 8,446.77 = 4,155 : x
  2. Step 2: Convert to fraction form
    5,638.47/8,446.77 = 4,155/x
  3. Step 3: Cross multiply
    5,638.47x = 8,446.77 × 4,155
  4. Step 4: Simplify right side
    5,638.47x = 35,096,329.35
  5. Step 5: Solve for x
    x = 35,096,329.35/5,638.47
  6. Step 6: Final answer
    x = 6,224.44

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1.5x scale

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.