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Finding the Fourth Proportional to 2,784.17, 4,176.71 and 935.09

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Solution

The fourth proportional to 2,784.17, 4,176.71 and 935.09 is: 1,402.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.17 : 4,176.71 = 935.09 : x
  2. Step 2: Convert to fraction form
    2,784.17/4,176.71 = 935.09/x
  3. Step 3: Cross multiply
    2,784.17x = 4,176.71 × 935.09
  4. Step 4: Simplify right side
    2,784.17x = 3,905,622.12
  5. Step 5: Solve for x
    x = 3,905,622.12/2,784.17
  6. Step 6: Final answer
    x = 1,402.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.