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Finding the Fourth Proportional to 9,039.96, 13,522.50 and 8,487

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Solution

The fourth proportional to 9,039.96, 13,522.50 and 8,487 is: 12,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.96 : 13,522.50 = 8,487 : x
  2. Step 2: Convert to fraction form
    9,039.96/13,522.50 = 8,487/x
  3. Step 3: Cross multiply
    9,039.96x = 13,522.50 × 8,487
  4. Step 4: Simplify right side
    9,039.96x = 114,765,457.50
  5. Step 5: Solve for x
    x = 114,765,457.50/9,039.96
  6. Step 6: Final answer
    x = 12,695.35

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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.