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Finding the Fourth Proportional to 6,389.31, 8,814.75 and 4,714.74

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Solution

The fourth proportional to 6,389.31, 8,814.75 and 4,714.74 is: 6,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.31 : 8,814.75 = 4,714.74 : x
  2. Step 2: Convert to fraction form
    6,389.31/8,814.75 = 4,714.74/x
  3. Step 3: Cross multiply
    6,389.31x = 8,814.75 × 4,714.74
  4. Step 4: Simplify right side
    6,389.31x = 41,559,254.42
  5. Step 5: Solve for x
    x = 41,559,254.42/6,389.31
  6. Step 6: Final answer
    x = 6,504.50

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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.