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Finding the Fourth Proportional to 1,831.64, 2,743.68 and 1,364

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Solution

The fourth proportional to 1,831.64, 2,743.68 and 1,364 is: 2,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.64 : 2,743.68 = 1,364 : x
  2. Step 2: Convert to fraction form
    1,831.64/2,743.68 = 1,364/x
  3. Step 3: Cross multiply
    1,831.64x = 2,743.68 × 1,364
  4. Step 4: Simplify right side
    1,831.64x = 3,742,379.52
  5. Step 5: Solve for x
    x = 3,742,379.52/1,831.64
  6. Step 6: Final answer
    x = 2,043.19

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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.