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Finding the Fourth Proportional to 5,746.92, 7,930 and 3,388.20

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Solution

The fourth proportional to 5,746.92, 7,930 and 3,388.20 is: 4,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.92 : 7,930 = 3,388.20 : x
  2. Step 2: Convert to fraction form
    5,746.92/7,930 = 3,388.20/x
  3. Step 3: Cross multiply
    5,746.92x = 7,930 × 3,388.20
  4. Step 4: Simplify right side
    5,746.92x = 26,868,426
  5. Step 5: Solve for x
    x = 26,868,426/5,746.92
  6. Step 6: Final answer
    x = 4,675.27

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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.