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Finding the Fourth Proportional to 7,681.94, 11,520.88 and 5,454.24

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Solution

The fourth proportional to 7,681.94, 11,520.88 and 5,454.24 is: 8,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.94 : 11,520.88 = 5,454.24 : x
  2. Step 2: Convert to fraction form
    7,681.94/11,520.88 = 5,454.24/x
  3. Step 3: Cross multiply
    7,681.94x = 11,520.88 × 5,454.24
  4. Step 4: Simplify right side
    7,681.94x = 62,837,618.37
  5. Step 5: Solve for x
    x = 62,837,618.37/7,681.94
  6. Step 6: Final answer
    x = 8,179.92

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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.