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Finding the Fourth Proportional to 4,472.90, 6,700.88 and 4,285.22

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Solution

The fourth proportional to 4,472.90, 6,700.88 and 4,285.22 is: 6,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.90 : 6,700.88 = 4,285.22 : x
  2. Step 2: Convert to fraction form
    4,472.90/6,700.88 = 4,285.22/x
  3. Step 3: Cross multiply
    4,472.90x = 6,700.88 × 4,285.22
  4. Step 4: Simplify right side
    4,472.90x = 28,714,722.20
  5. Step 5: Solve for x
    x = 28,714,722.20/4,472.90
  6. Step 6: Final answer
    x = 6,419.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.