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Finding the Fourth Proportional to 8,569.56, 12,854.30 and 3,638.46

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Solution

The fourth proportional to 8,569.56, 12,854.30 and 3,638.46 is: 5,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.56 : 12,854.30 = 3,638.46 : x
  2. Step 2: Convert to fraction form
    8,569.56/12,854.30 = 3,638.46/x
  3. Step 3: Cross multiply
    8,569.56x = 12,854.30 × 3,638.46
  4. Step 4: Simplify right side
    8,569.56x = 46,769,856.38
  5. Step 5: Solve for x
    x = 46,769,856.38/8,569.56
  6. Step 6: Final answer
    x = 5,457.67

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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.