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Finding the Fourth Proportional to 1,831.88, 2,528.00 and 992.59

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Solution

The fourth proportional to 1,831.88, 2,528.00 and 992.59 is: 1,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.88 : 2,528.00 = 992.59 : x
  2. Step 2: Convert to fraction form
    1,831.88/2,528.00 = 992.59/x
  3. Step 3: Cross multiply
    1,831.88x = 2,528.00 × 992.59
  4. Step 4: Simplify right side
    1,831.88x = 2,509,269.23
  5. Step 5: Solve for x
    x = 2,509,269.23/1,831.88
  6. Step 6: Final answer
    x = 1,369.78

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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.