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Finding the Fourth Proportional to 5,292.40, 7,939.71 and 2,005.42

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Solution

The fourth proportional to 5,292.40, 7,939.71 and 2,005.42 is: 3,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.40 : 7,939.71 = 2,005.42 : x
  2. Step 2: Convert to fraction form
    5,292.40/7,939.71 = 2,005.42/x
  3. Step 3: Cross multiply
    5,292.40x = 7,939.71 × 2,005.42
  4. Step 4: Simplify right side
    5,292.40x = 15,922,453.23
  5. Step 5: Solve for x
    x = 15,922,453.23/5,292.40
  6. Step 6: Final answer
    x = 3,008.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.