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Finding the Fourth Proportional to 9,914.99, 13,682.68 and 5,438.77

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Solution

The fourth proportional to 9,914.99, 13,682.68 and 5,438.77 is: 7,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.99 : 13,682.68 = 5,438.77 : x
  2. Step 2: Convert to fraction form
    9,914.99/13,682.68 = 5,438.77/x
  3. Step 3: Cross multiply
    9,914.99x = 13,682.68 × 5,438.77
  4. Step 4: Simplify right side
    9,914.99x = 74,416,901.70
  5. Step 5: Solve for x
    x = 74,416,901.70/9,914.99
  6. Step 6: Final answer
    x = 7,505.50

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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.