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Finding the Fourth Proportional to 2,892.58, 3,988.65 and 2,831.83

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Solution

The fourth proportional to 2,892.58, 3,988.65 and 2,831.83 is: 3,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.58 : 3,988.65 = 2,831.83 : x
  2. Step 2: Convert to fraction form
    2,892.58/3,988.65 = 2,831.83/x
  3. Step 3: Cross multiply
    2,892.58x = 3,988.65 × 2,831.83
  4. Step 4: Simplify right side
    2,892.58x = 11,295,178.73
  5. Step 5: Solve for x
    x = 11,295,178.73/2,892.58
  6. Step 6: Final answer
    x = 3,904.88

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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.