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Finding the Fourth Proportional to 10,513.50, 14,529.54 and 8,622.12

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Solution

The fourth proportional to 10,513.50, 14,529.54 and 8,622.12 is: 11,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.50 : 14,529.54 = 8,622.12 : x
  2. Step 2: Convert to fraction form
    10,513.50/14,529.54 = 8,622.12/x
  3. Step 3: Cross multiply
    10,513.50x = 14,529.54 × 8,622.12
  4. Step 4: Simplify right side
    10,513.50x = 125,275,437.42
  5. Step 5: Solve for x
    x = 125,275,437.42/10,513.50
  6. Step 6: Final answer
    x = 11,915.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.