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Finding the Fourth Proportional to 8,661.12, 12,992.64 and 4,763.52

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Solution

The fourth proportional to 8,661.12, 12,992.64 and 4,763.52 is: 7,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.12 : 12,992.64 = 4,763.52 : x
  2. Step 2: Convert to fraction form
    8,661.12/12,992.64 = 4,763.52/x
  3. Step 3: Cross multiply
    8,661.12x = 12,992.64 × 4,763.52
  4. Step 4: Simplify right side
    8,661.12x = 61,890,700.49
  5. Step 5: Solve for x
    x = 61,890,700.49/8,661.12
  6. Step 6: Final answer
    x = 7,145.81

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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.