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Finding the Fourth Proportional to 5,471.90, 7,551.21 and 3,114.05

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Solution

The fourth proportional to 5,471.90, 7,551.21 and 3,114.05 is: 4,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.90 : 7,551.21 = 3,114.05 : x
  2. Step 2: Convert to fraction form
    5,471.90/7,551.21 = 3,114.05/x
  3. Step 3: Cross multiply
    5,471.90x = 7,551.21 × 3,114.05
  4. Step 4: Simplify right side
    5,471.90x = 23,514,807.74
  5. Step 5: Solve for x
    x = 23,514,807.74/5,471.90
  6. Step 6: Final answer
    x = 4,297.38

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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.