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Finding the Fourth Proportional to 7,818.92, 11,736.62 and 7,642.62

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Solution

The fourth proportional to 7,818.92, 11,736.62 and 7,642.62 is: 11,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.92 : 11,736.62 = 7,642.62 : x
  2. Step 2: Convert to fraction form
    7,818.92/11,736.62 = 7,642.62/x
  3. Step 3: Cross multiply
    7,818.92x = 11,736.62 × 7,642.62
  4. Step 4: Simplify right side
    7,818.92x = 89,698,526.74
  5. Step 5: Solve for x
    x = 89,698,526.74/7,818.92
  6. Step 6: Final answer
    x = 11,471.98

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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.