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Finding the Fourth Proportional to 5,406.38, 7,460.80 and 2,922.38

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Solution

The fourth proportional to 5,406.38, 7,460.80 and 2,922.38 is: 4,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.38 : 7,460.80 = 2,922.38 : x
  2. Step 2: Convert to fraction form
    5,406.38/7,460.80 = 2,922.38/x
  3. Step 3: Cross multiply
    5,406.38x = 7,460.80 × 2,922.38
  4. Step 4: Simplify right side
    5,406.38x = 21,803,292.70
  5. Step 5: Solve for x
    x = 21,803,292.70/5,406.38
  6. Step 6: Final answer
    x = 4,032.88

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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.