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Finding the Fourth Proportional to 6,470.52, 8,929.80 and 3,638.22

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Solution

The fourth proportional to 6,470.52, 8,929.80 and 3,638.22 is: 5,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.52 : 8,929.80 = 3,638.22 : x
  2. Step 2: Convert to fraction form
    6,470.52/8,929.80 = 3,638.22/x
  3. Step 3: Cross multiply
    6,470.52x = 8,929.80 × 3,638.22
  4. Step 4: Simplify right side
    6,470.52x = 32,488,576.96
  5. Step 5: Solve for x
    x = 32,488,576.96/6,470.52
  6. Step 6: Final answer
    x = 5,021.01

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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.