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Finding the Fourth Proportional to 6,272.72, 8,652.40 and 4,778

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Solution

The fourth proportional to 6,272.72, 8,652.40 and 4,778 is: 6,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.72 : 8,652.40 = 4,778 : x
  2. Step 2: Convert to fraction form
    6,272.72/8,652.40 = 4,778/x
  3. Step 3: Cross multiply
    6,272.72x = 8,652.40 × 4,778
  4. Step 4: Simplify right side
    6,272.72x = 41,341,167.20
  5. Step 5: Solve for x
    x = 41,341,167.20/6,272.72
  6. Step 6: Final answer
    x = 6,590.63

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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.