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Finding the Fourth Proportional to 13,000.52, 19,503.21 and 5,209.94

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Solution

The fourth proportional to 13,000.52, 19,503.21 and 5,209.94 is: 7,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.52 : 19,503.21 = 5,209.94 : x
  2. Step 2: Convert to fraction form
    13,000.52/19,503.21 = 5,209.94/x
  3. Step 3: Cross multiply
    13,000.52x = 19,503.21 × 5,209.94
  4. Step 4: Simplify right side
    13,000.52x = 101,610,553.91
  5. Step 5: Solve for x
    x = 101,610,553.91/13,000.52
  6. Step 6: Final answer
    x = 7,815.88

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1.5x scale

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.