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Finding the Fourth Proportional to 6,401.56, 8,830.56 and 3,748.46

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Solution

The fourth proportional to 6,401.56, 8,830.56 and 3,748.46 is: 5,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.56 : 8,830.56 = 3,748.46 : x
  2. Step 2: Convert to fraction form
    6,401.56/8,830.56 = 3,748.46/x
  3. Step 3: Cross multiply
    6,401.56x = 8,830.56 × 3,748.46
  4. Step 4: Simplify right side
    6,401.56x = 33,101,000.94
  5. Step 5: Solve for x
    x = 33,101,000.94/6,401.56
  6. Step 6: Final answer
    x = 5,170.77

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1.5x scale

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.