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Finding the Fourth Proportional to 8,656, 12,977.52 and 2,809.12

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Solution

The fourth proportional to 8,656, 12,977.52 and 2,809.12 is: 4,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656 : 12,977.52 = 2,809.12 : x
  2. Step 2: Convert to fraction form
    8,656/12,977.52 = 2,809.12/x
  3. Step 3: Cross multiply
    8,656x = 12,977.52 × 2,809.12
  4. Step 4: Simplify right side
    8,656x = 36,455,410.98
  5. Step 5: Solve for x
    x = 36,455,410.98/8,656
  6. Step 6: Final answer
    x = 4,211.58

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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.