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Finding the Fourth Proportional to 7,119.71, 9,825.20 and 3,975.90

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Solution

The fourth proportional to 7,119.71, 9,825.20 and 3,975.90 is: 5,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.71 : 9,825.20 = 3,975.90 : x
  2. Step 2: Convert to fraction form
    7,119.71/9,825.20 = 3,975.90/x
  3. Step 3: Cross multiply
    7,119.71x = 9,825.20 × 3,975.90
  4. Step 4: Simplify right side
    7,119.71x = 39,063,970.87
  5. Step 5: Solve for x
    x = 39,063,970.87/7,119.71
  6. Step 6: Final answer
    x = 5,486.74

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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.