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Finding the Fourth Proportional to 7,784.91, 11,690.33 and 7,724.43

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Solution

The fourth proportional to 7,784.91, 11,690.33 and 7,724.43 is: 11,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.91 : 11,690.33 = 7,724.43 : x
  2. Step 2: Convert to fraction form
    7,784.91/11,690.33 = 7,724.43/x
  3. Step 3: Cross multiply
    7,784.91x = 11,690.33 × 7,724.43
  4. Step 4: Simplify right side
    7,784.91x = 90,301,097.14
  5. Step 5: Solve for x
    x = 90,301,097.14/7,784.91
  6. Step 6: Final answer
    x = 11,599.50

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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.