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Finding the Fourth Proportional to 13,420.50, 18,520.61 and 7,451.88

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Solution

The fourth proportional to 13,420.50, 18,520.61 and 7,451.88 is: 10,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.50 : 18,520.61 = 7,451.88 : x
  2. Step 2: Convert to fraction form
    13,420.50/18,520.61 = 7,451.88/x
  3. Step 3: Cross multiply
    13,420.50x = 18,520.61 × 7,451.88
  4. Step 4: Simplify right side
    13,420.50x = 138,013,363.25
  5. Step 5: Solve for x
    x = 138,013,363.25/13,420.50
  6. Step 6: Final answer
    x = 10,283.77

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1.5x scale

Why These Related Problems?

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