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Finding the Fourth Proportional to 7,447.61, 11,171.42 and 1,900.96

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Solution

The fourth proportional to 7,447.61, 11,171.42 and 1,900.96 is: 2,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.61 : 11,171.42 = 1,900.96 : x
  2. Step 2: Convert to fraction form
    7,447.61/11,171.42 = 1,900.96/x
  3. Step 3: Cross multiply
    7,447.61x = 11,171.42 × 1,900.96
  4. Step 4: Simplify right side
    7,447.61x = 21,236,406.08
  5. Step 5: Solve for x
    x = 21,236,406.08/7,447.61
  6. Step 6: Final answer
    x = 2,851.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.