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Finding the Fourth Proportional to 7,472.89, 10,305.72 and 4,919.57

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Solution

The fourth proportional to 7,472.89, 10,305.72 and 4,919.57 is: 6,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.89 : 10,305.72 = 4,919.57 : x
  2. Step 2: Convert to fraction form
    7,472.89/10,305.72 = 4,919.57/x
  3. Step 3: Cross multiply
    7,472.89x = 10,305.72 × 4,919.57
  4. Step 4: Simplify right side
    7,472.89x = 50,699,659.41
  5. Step 5: Solve for x
    x = 50,699,659.41/7,472.89
  6. Step 6: Final answer
    x = 6,784.48

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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.