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Finding the Fourth Proportional to 7,551.77, 10,421.46 and 4,194.82

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Solution

The fourth proportional to 7,551.77, 10,421.46 and 4,194.82 is: 5,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.77 : 10,421.46 = 4,194.82 : x
  2. Step 2: Convert to fraction form
    7,551.77/10,421.46 = 4,194.82/x
  3. Step 3: Cross multiply
    7,551.77x = 10,421.46 × 4,194.82
  4. Step 4: Simplify right side
    7,551.77x = 43,716,161.86
  5. Step 5: Solve for x
    x = 43,716,161.86/7,551.77
  6. Step 6: Final answer
    x = 5,788.87

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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.