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Finding the Fourth Proportional to 8,609.76, 12,916.80 and 3,415.68

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Solution

The fourth proportional to 8,609.76, 12,916.80 and 3,415.68 is: 5,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.76 : 12,916.80 = 3,415.68 : x
  2. Step 2: Convert to fraction form
    8,609.76/12,916.80 = 3,415.68/x
  3. Step 3: Cross multiply
    8,609.76x = 12,916.80 × 3,415.68
  4. Step 4: Simplify right side
    8,609.76x = 44,119,655.42
  5. Step 5: Solve for x
    x = 44,119,655.42/8,609.76
  6. Step 6: Final answer
    x = 5,124.38

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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.