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Finding the Fourth Proportional to 8,020.42, 11,070.08 and 4,876

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Solution

The fourth proportional to 8,020.42, 11,070.08 and 4,876 is: 6,730.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.42 : 11,070.08 = 4,876 : x
  2. Step 2: Convert to fraction form
    8,020.42/11,070.08 = 4,876/x
  3. Step 3: Cross multiply
    8,020.42x = 11,070.08 × 4,876
  4. Step 4: Simplify right side
    8,020.42x = 53,977,710.08
  5. Step 5: Solve for x
    x = 53,977,710.08/8,020.42
  6. Step 6: Final answer
    x = 6,730.04

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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.