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Finding the Fourth Proportional to 9,043.96, 13,528.50 and 8,491

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Solution

The fourth proportional to 9,043.96, 13,528.50 and 8,491 is: 12,701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,043.96 : 13,528.50 = 8,491 : x
  2. Step 2: Convert to fraction form
    9,043.96/13,528.50 = 8,491/x
  3. Step 3: Cross multiply
    9,043.96x = 13,528.50 × 8,491
  4. Step 4: Simplify right side
    9,043.96x = 114,870,493.50
  5. Step 5: Solve for x
    x = 114,870,493.50/9,043.96
  6. Step 6: Final answer
    x = 12,701.35

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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.