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Finding the Fourth Proportional to 11,451.99, 15,804.54 and 6,416.64

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Solution

The fourth proportional to 11,451.99, 15,804.54 and 6,416.64 is: 8,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.99 : 15,804.54 = 6,416.64 : x
  2. Step 2: Convert to fraction form
    11,451.99/15,804.54 = 6,416.64/x
  3. Step 3: Cross multiply
    11,451.99x = 15,804.54 × 6,416.64
  4. Step 4: Simplify right side
    11,451.99x = 101,412,043.55
  5. Step 5: Solve for x
    x = 101,412,043.55/11,451.99
  6. Step 6: Final answer
    x = 8,855.41

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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.