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Finding the Fourth Proportional to 2,954.76, 4,078.13 and 1,776.21

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Solution

The fourth proportional to 2,954.76, 4,078.13 and 1,776.21 is: 2,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.76 : 4,078.13 = 1,776.21 : x
  2. Step 2: Convert to fraction form
    2,954.76/4,078.13 = 1,776.21/x
  3. Step 3: Cross multiply
    2,954.76x = 4,078.13 × 1,776.21
  4. Step 4: Simplify right side
    2,954.76x = 7,243,606.41
  5. Step 5: Solve for x
    x = 7,243,606.41/2,954.76
  6. Step 6: Final answer
    x = 2,451.50

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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.