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Finding the Fourth Proportional to 5,407.77, 8,114.90 and 1,945.29

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Solution

The fourth proportional to 5,407.77, 8,114.90 and 1,945.29 is: 2,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.77 : 8,114.90 = 1,945.29 : x
  2. Step 2: Convert to fraction form
    5,407.77/8,114.90 = 1,945.29/x
  3. Step 3: Cross multiply
    5,407.77x = 8,114.90 × 1,945.29
  4. Step 4: Simplify right side
    5,407.77x = 15,785,824.09
  5. Step 5: Solve for x
    x = 15,785,824.09/5,407.77
  6. Step 6: Final answer
    x = 2,919.10

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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.