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Finding the Fourth Proportional to 8,405.54, 12,591.60 and 7,716.63

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Solution

The fourth proportional to 8,405.54, 12,591.60 and 7,716.63 is: 11,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.54 : 12,591.60 = 7,716.63 : x
  2. Step 2: Convert to fraction form
    8,405.54/12,591.60 = 7,716.63/x
  3. Step 3: Cross multiply
    8,405.54x = 12,591.60 × 7,716.63
  4. Step 4: Simplify right side
    8,405.54x = 97,164,718.31
  5. Step 5: Solve for x
    x = 97,164,718.31/8,405.54
  6. Step 6: Final answer
    x = 11,559.60

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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.