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Finding the Fourth Proportional to 5,429.69, 7,493 and 3,072.32

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Solution

The fourth proportional to 5,429.69, 7,493 and 3,072.32 is: 4,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.69 : 7,493 = 3,072.32 : x
  2. Step 2: Convert to fraction form
    5,429.69/7,493 = 3,072.32/x
  3. Step 3: Cross multiply
    5,429.69x = 7,493 × 3,072.32
  4. Step 4: Simplify right side
    5,429.69x = 23,020,893.76
  5. Step 5: Solve for x
    x = 23,020,893.76/5,429.69
  6. Step 6: Final answer
    x = 4,239.82

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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.