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Finding the Fourth Proportional to 5,443, 7,509.28 and 3,083.36

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Solution

The fourth proportional to 5,443, 7,509.28 and 3,083.36 is: 4,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443 : 7,509.28 = 3,083.36 : x
  2. Step 2: Convert to fraction form
    5,443/7,509.28 = 3,083.36/x
  3. Step 3: Cross multiply
    5,443x = 7,509.28 × 3,083.36
  4. Step 4: Simplify right side
    5,443x = 23,153,813.58
  5. Step 5: Solve for x
    x = 23,153,813.58/5,443
  6. Step 6: Final answer
    x = 4,253.87

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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.