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Finding the Fourth Proportional to 2,911.84, 4,017 and 1,864.96

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Solution

The fourth proportional to 2,911.84, 4,017 and 1,864.96 is: 2,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.84 : 4,017 = 1,864.96 : x
  2. Step 2: Convert to fraction form
    2,911.84/4,017 = 1,864.96/x
  3. Step 3: Cross multiply
    2,911.84x = 4,017 × 1,864.96
  4. Step 4: Simplify right side
    2,911.84x = 7,491,544.32
  5. Step 5: Solve for x
    x = 7,491,544.32/2,911.84
  6. Step 6: Final answer
    x = 2,572.79

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1.5x scale

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.