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Finding the Fourth Proportional to 7,641.86, 10,546.50 and 4,284.68

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Solution

The fourth proportional to 7,641.86, 10,546.50 and 4,284.68 is: 5,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.86 : 10,546.50 = 4,284.68 : x
  2. Step 2: Convert to fraction form
    7,641.86/10,546.50 = 4,284.68/x
  3. Step 3: Cross multiply
    7,641.86x = 10,546.50 × 4,284.68
  4. Step 4: Simplify right side
    7,641.86x = 45,188,377.62
  5. Step 5: Solve for x
    x = 45,188,377.62/7,641.86
  6. Step 6: Final answer
    x = 5,913.27

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Double scale
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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.