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Finding the Fourth Proportional to 7,926.12, 11,862.65 and 7,821.23

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Solution

The fourth proportional to 7,926.12, 11,862.65 and 7,821.23 is: 11,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.12 : 11,862.65 = 7,821.23 : x
  2. Step 2: Convert to fraction form
    7,926.12/11,862.65 = 7,821.23/x
  3. Step 3: Cross multiply
    7,926.12x = 11,862.65 × 7,821.23
  4. Step 4: Simplify right side
    7,926.12x = 92,780,474.30
  5. Step 5: Solve for x
    x = 92,780,474.30/7,926.12
  6. Step 6: Final answer
    x = 11,705.66

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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.