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Finding the Fourth Proportional to 7,689.94, 11,524.19 and 5,814.28

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Solution

The fourth proportional to 7,689.94, 11,524.19 and 5,814.28 is: 8,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.94 : 11,524.19 = 5,814.28 : x
  2. Step 2: Convert to fraction form
    7,689.94/11,524.19 = 5,814.28/x
  3. Step 3: Cross multiply
    7,689.94x = 11,524.19 × 5,814.28
  4. Step 4: Simplify right side
    7,689.94x = 67,004,885.47
  5. Step 5: Solve for x
    x = 67,004,885.47/7,689.94
  6. Step 6: Final answer
    x = 8,713.32

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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.