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Finding the Fourth Proportional to 6,418.64, 8,853.90 and 4,429.10

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Solution

The fourth proportional to 6,418.64, 8,853.90 and 4,429.10 is: 6,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.64 : 8,853.90 = 4,429.10 : x
  2. Step 2: Convert to fraction form
    6,418.64/8,853.90 = 4,429.10/x
  3. Step 3: Cross multiply
    6,418.64x = 8,853.90 × 4,429.10
  4. Step 4: Simplify right side
    6,418.64x = 39,214,808.49
  5. Step 5: Solve for x
    x = 39,214,808.49/6,418.64
  6. Step 6: Final answer
    x = 6,109.52

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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.