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Finding the Fourth Proportional to 5,780.92, 7,979.74 and 3,423.08

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Solution

The fourth proportional to 5,780.92, 7,979.74 and 3,423.08 is: 4,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.92 : 7,979.74 = 3,423.08 : x
  2. Step 2: Convert to fraction form
    5,780.92/7,979.74 = 3,423.08/x
  3. Step 3: Cross multiply
    5,780.92x = 7,979.74 × 3,423.08
  4. Step 4: Simplify right side
    5,780.92x = 27,315,288.40
  5. Step 5: Solve for x
    x = 27,315,288.40/5,780.92
  6. Step 6: Final answer
    x = 4,725.08

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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.