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Finding the Fourth Proportional to 7,842.11, 11,818.23 and 7,063.08

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Solution

The fourth proportional to 7,842.11, 11,818.23 and 7,063.08 is: 10,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.11 : 11,818.23 = 7,063.08 : x
  2. Step 2: Convert to fraction form
    7,842.11/11,818.23 = 7,063.08/x
  3. Step 3: Cross multiply
    7,842.11x = 11,818.23 × 7,063.08
  4. Step 4: Simplify right side
    7,842.11x = 83,473,103.95
  5. Step 5: Solve for x
    x = 83,473,103.95/7,842.11
  6. Step 6: Final answer
    x = 10,644.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.