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Finding the Fourth Proportional to 5,430.62, 7,493.84 and 3,072.91

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Solution

The fourth proportional to 5,430.62, 7,493.84 and 3,072.91 is: 4,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.62 : 7,493.84 = 3,072.91 : x
  2. Step 2: Convert to fraction form
    5,430.62/7,493.84 = 3,072.91/x
  3. Step 3: Cross multiply
    5,430.62x = 7,493.84 × 3,072.91
  4. Step 4: Simplify right side
    5,430.62x = 23,027,895.87
  5. Step 5: Solve for x
    x = 23,027,895.87/5,430.62
  6. Step 6: Final answer
    x = 4,240.38

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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.