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Finding the Fourth Proportional to 8,578.12, 12,866.52 and 3,315.64

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Solution

The fourth proportional to 8,578.12, 12,866.52 and 3,315.64 is: 4,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.12 : 12,866.52 = 3,315.64 : x
  2. Step 2: Convert to fraction form
    8,578.12/12,866.52 = 3,315.64/x
  3. Step 3: Cross multiply
    8,578.12x = 12,866.52 × 3,315.64
  4. Step 4: Simplify right side
    8,578.12x = 42,660,748.37
  5. Step 5: Solve for x
    x = 42,660,748.37/8,578.12
  6. Step 6: Final answer
    x = 4,973.20

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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.