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Finding the Fourth Proportional to 8,675.12, 13,009.84 and 2,830.32

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Solution

The fourth proportional to 8,675.12, 13,009.84 and 2,830.32 is: 4,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.12 : 13,009.84 = 2,830.32 : x
  2. Step 2: Convert to fraction form
    8,675.12/13,009.84 = 2,830.32/x
  3. Step 3: Cross multiply
    8,675.12x = 13,009.84 × 2,830.32
  4. Step 4: Simplify right side
    8,675.12x = 36,822,010.35
  5. Step 5: Solve for x
    x = 36,822,010.35/8,675.12
  6. Step 6: Final answer
    x = 4,244.55

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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.