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Finding the Fourth Proportional to 7,815.15, 11,693.57 and 7,727.67

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Solution

The fourth proportional to 7,815.15, 11,693.57 and 7,727.67 is: 11,562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.15 : 11,693.57 = 7,727.67 : x
  2. Step 2: Convert to fraction form
    7,815.15/11,693.57 = 7,727.67/x
  3. Step 3: Cross multiply
    7,815.15x = 11,693.57 × 7,727.67
  4. Step 4: Simplify right side
    7,815.15x = 90,364,011.44
  5. Step 5: Solve for x
    x = 90,364,011.44/7,815.15
  6. Step 6: Final answer
    x = 11,562.67

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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.