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Finding the Fourth Proportional to 7,842.12, 11,763.18 and 2,651.64

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Solution

The fourth proportional to 7,842.12, 11,763.18 and 2,651.64 is: 3,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.12 : 11,763.18 = 2,651.64 : x
  2. Step 2: Convert to fraction form
    7,842.12/11,763.18 = 2,651.64/x
  3. Step 3: Cross multiply
    7,842.12x = 11,763.18 × 2,651.64
  4. Step 4: Simplify right side
    7,842.12x = 31,191,718.62
  5. Step 5: Solve for x
    x = 31,191,718.62/7,842.12
  6. Step 6: Final answer
    x = 3,977.46

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Similar ratio
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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.