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Finding the Fourth Proportional to 3,886.76, 5,831.04 and 1,289.70

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Solution

The fourth proportional to 3,886.76, 5,831.04 and 1,289.70 is: 1,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.76 : 5,831.04 = 1,289.70 : x
  2. Step 2: Convert to fraction form
    3,886.76/5,831.04 = 1,289.70/x
  3. Step 3: Cross multiply
    3,886.76x = 5,831.04 × 1,289.70
  4. Step 4: Simplify right side
    3,886.76x = 7,520,292.29
  5. Step 5: Solve for x
    x = 7,520,292.29/3,886.76
  6. Step 6: Final answer
    x = 1,934.85

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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.