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Finding the Fourth Proportional to 2,955.77, 4,078.05 and 1,760.21

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Solution

The fourth proportional to 2,955.77, 4,078.05 and 1,760.21 is: 2,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.77 : 4,078.05 = 1,760.21 : x
  2. Step 2: Convert to fraction form
    2,955.77/4,078.05 = 1,760.21/x
  3. Step 3: Cross multiply
    2,955.77x = 4,078.05 × 1,760.21
  4. Step 4: Simplify right side
    2,955.77x = 7,178,224.39
  5. Step 5: Solve for x
    x = 7,178,224.39/2,955.77
  6. Step 6: Final answer
    x = 2,428.55

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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.