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Finding the Fourth Proportional to 9,950.55, 13,729.28 and 6,409.50

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Solution

The fourth proportional to 9,950.55, 13,729.28 and 6,409.50 is: 8,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.55 : 13,729.28 = 6,409.50 : x
  2. Step 2: Convert to fraction form
    9,950.55/13,729.28 = 6,409.50/x
  3. Step 3: Cross multiply
    9,950.55x = 13,729.28 × 6,409.50
  4. Step 4: Simplify right side
    9,950.55x = 87,997,788.11
  5. Step 5: Solve for x
    x = 87,997,788.11/9,950.55
  6. Step 6: Final answer
    x = 8,843.51

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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.