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Finding the Fourth Proportional to 13,570, 20,352.22 and 8,570.86

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Solution

The fourth proportional to 13,570, 20,352.22 and 8,570.86 is: 12,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570 : 20,352.22 = 8,570.86 : x
  2. Step 2: Convert to fraction form
    13,570/20,352.22 = 8,570.86/x
  3. Step 3: Cross multiply
    13,570x = 20,352.22 × 8,570.86
  4. Step 4: Simplify right side
    13,570x = 174,436,028.31
  5. Step 5: Solve for x
    x = 174,436,028.31/13,570
  6. Step 6: Final answer
    x = 12,854.53

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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.