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Finding the Fourth Proportional to 5,675.70, 7,831.95 and 3,157.56

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Solution

The fourth proportional to 5,675.70, 7,831.95 and 3,157.56 is: 4,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.70 : 7,831.95 = 3,157.56 : x
  2. Step 2: Convert to fraction form
    5,675.70/7,831.95 = 3,157.56/x
  3. Step 3: Cross multiply
    5,675.70x = 7,831.95 × 3,157.56
  4. Step 4: Simplify right side
    5,675.70x = 24,729,852.04
  5. Step 5: Solve for x
    x = 24,729,852.04/5,675.70
  6. Step 6: Final answer
    x = 4,357.15

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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.