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Finding the Fourth Proportional to 7,808.21, 11,713.14 and 2,543.63

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Solution

The fourth proportional to 7,808.21, 11,713.14 and 2,543.63 is: 3,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.21 : 11,713.14 = 2,543.63 : x
  2. Step 2: Convert to fraction form
    7,808.21/11,713.14 = 2,543.63/x
  3. Step 3: Cross multiply
    7,808.21x = 11,713.14 × 2,543.63
  4. Step 4: Simplify right side
    7,808.21x = 29,793,881.58
  5. Step 5: Solve for x
    x = 29,793,881.58/7,808.21
  6. Step 6: Final answer
    x = 3,815.71

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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.