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Finding the Fourth Proportional to 2,785.84, 3,846 and 2,490.40

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Solution

The fourth proportional to 2,785.84, 3,846 and 2,490.40 is: 3,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.84 : 3,846 = 2,490.40 : x
  2. Step 2: Convert to fraction form
    2,785.84/3,846 = 2,490.40/x
  3. Step 3: Cross multiply
    2,785.84x = 3,846 × 2,490.40
  4. Step 4: Simplify right side
    2,785.84x = 9,578,078.40
  5. Step 5: Solve for x
    x = 9,578,078.40/2,785.84
  6. Step 6: Final answer
    x = 3,438.13

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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.