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Finding the Fourth Proportional to 5,672.70, 7,831.08 and 3,785.40

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Solution

The fourth proportional to 5,672.70, 7,831.08 and 3,785.40 is: 5,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.70 : 7,831.08 = 3,785.40 : x
  2. Step 2: Convert to fraction form
    5,672.70/7,831.08 = 3,785.40/x
  3. Step 3: Cross multiply
    5,672.70x = 7,831.08 × 3,785.40
  4. Step 4: Simplify right side
    5,672.70x = 29,643,770.23
  5. Step 5: Solve for x
    x = 29,643,770.23/5,672.70
  6. Step 6: Final answer
    x = 5,225.69

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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.