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Finding the Fourth Proportional to 2,893, 3,990.16 and 1,831.36

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Solution

The fourth proportional to 2,893, 3,990.16 and 1,831.36 is: 2,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893 : 3,990.16 = 1,831.36 : x
  2. Step 2: Convert to fraction form
    2,893/3,990.16 = 1,831.36/x
  3. Step 3: Cross multiply
    2,893x = 3,990.16 × 1,831.36
  4. Step 4: Simplify right side
    2,893x = 7,307,419.42
  5. Step 5: Solve for x
    x = 7,307,419.42/2,893
  6. Step 6: Final answer
    x = 2,525.90

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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.