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Finding the Fourth Proportional to 9,562.83, 13,201.20 and 6,381.42

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Solution

The fourth proportional to 9,562.83, 13,201.20 and 6,381.42 is: 8,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.83 : 13,201.20 = 6,381.42 : x
  2. Step 2: Convert to fraction form
    9,562.83/13,201.20 = 6,381.42/x
  3. Step 3: Cross multiply
    9,562.83x = 13,201.20 × 6,381.42
  4. Step 4: Simplify right side
    9,562.83x = 84,242,401.70
  5. Step 5: Solve for x
    x = 84,242,401.70/9,562.83
  6. Step 6: Final answer
    x = 8,809.36

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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.