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Finding the Fourth Proportional to 11,455.68, 15,808.09 and 6,739.05

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Solution

The fourth proportional to 11,455.68, 15,808.09 and 6,739.05 is: 9,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.68 : 15,808.09 = 6,739.05 : x
  2. Step 2: Convert to fraction form
    11,455.68/15,808.09 = 6,739.05/x
  3. Step 3: Cross multiply
    11,455.68x = 15,808.09 × 6,739.05
  4. Step 4: Simplify right side
    11,455.68x = 106,531,508.91
  5. Step 5: Solve for x
    x = 106,531,508.91/11,455.68
  6. Step 6: Final answer
    x = 9,299.45

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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.