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Finding the Fourth Proportional to 8,405.70, 11,597.27 and 4,868.22

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Solution

The fourth proportional to 8,405.70, 11,597.27 and 4,868.22 is: 6,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.70 : 11,597.27 = 4,868.22 : x
  2. Step 2: Convert to fraction form
    8,405.70/11,597.27 = 4,868.22/x
  3. Step 3: Cross multiply
    8,405.70x = 11,597.27 × 4,868.22
  4. Step 4: Simplify right side
    8,405.70x = 56,458,061.76
  5. Step 5: Solve for x
    x = 56,458,061.76/8,405.70
  6. Step 6: Final answer
    x = 6,716.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.