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Finding the Fourth Proportional to 5,790, 7,991.28 and 4,394.64

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Solution

The fourth proportional to 5,790, 7,991.28 and 4,394.64 is: 6,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790 : 7,991.28 = 4,394.64 : x
  2. Step 2: Convert to fraction form
    5,790/7,991.28 = 4,394.64/x
  3. Step 3: Cross multiply
    5,790x = 7,991.28 × 4,394.64
  4. Step 4: Simplify right side
    5,790x = 35,118,798.74
  5. Step 5: Solve for x
    x = 35,118,798.74/5,790
  6. Step 6: Final answer
    x = 6,065.42

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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.