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Finding the Fourth Proportional to 6,514.30, 8,991.78 and 4,156.44

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Solution

The fourth proportional to 6,514.30, 8,991.78 and 4,156.44 is: 5,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.30 : 8,991.78 = 4,156.44 : x
  2. Step 2: Convert to fraction form
    6,514.30/8,991.78 = 4,156.44/x
  3. Step 3: Cross multiply
    6,514.30x = 8,991.78 × 4,156.44
  4. Step 4: Simplify right side
    6,514.30x = 37,373,728.32
  5. Step 5: Solve for x
    x = 37,373,728.32/6,514.30
  6. Step 6: Final answer
    x = 5,737.19

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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.