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Finding the Fourth Proportional to 6,317.99, 8,714.11 and 4,638.86

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Solution

The fourth proportional to 6,317.99, 8,714.11 and 4,638.86 is: 6,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.99 : 8,714.11 = 4,638.86 : x
  2. Step 2: Convert to fraction form
    6,317.99/8,714.11 = 4,638.86/x
  3. Step 3: Cross multiply
    6,317.99x = 8,714.11 × 4,638.86
  4. Step 4: Simplify right side
    6,317.99x = 40,423,536.31
  5. Step 5: Solve for x
    x = 40,423,536.31/6,317.99
  6. Step 6: Final answer
    x = 6,398.16

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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.