Home / 2,911-4,017.06-1,584.71

Finding the Fourth Proportional to 2,911, 4,017.06 and 1,584.71

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Solution

The fourth proportional to 2,911, 4,017.06 and 1,584.71 is: 2,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911 : 4,017.06 = 1,584.71 : x
  2. Step 2: Convert to fraction form
    2,911/4,017.06 = 1,584.71/x
  3. Step 3: Cross multiply
    2,911x = 4,017.06 × 1,584.71
  4. Step 4: Simplify right side
    2,911x = 6,365,875.15
  5. Step 5: Solve for x
    x = 6,365,875.15/2,911
  6. Step 6: Final answer
    x = 2,186.83

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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.