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Finding the Fourth Proportional to 2,911, 4,015.47 and 1,732

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Solution

The fourth proportional to 2,911, 4,015.47 and 1,732 is: 2,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911 : 4,015.47 = 1,732 : x
  2. Step 2: Convert to fraction form
    2,911/4,015.47 = 1,732/x
  3. Step 3: Cross multiply
    2,911x = 4,015.47 × 1,732
  4. Step 4: Simplify right side
    2,911x = 6,954,794.04
  5. Step 5: Solve for x
    x = 6,954,794.04/2,911
  6. Step 6: Final answer
    x = 2,389.14

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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.