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Finding the Fourth Proportional to 13,073.98, 18,042.04 and 7,409.80

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Solution

The fourth proportional to 13,073.98, 18,042.04 and 7,409.80 is: 10,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.98 : 18,042.04 = 7,409.80 : x
  2. Step 2: Convert to fraction form
    13,073.98/18,042.04 = 7,409.80/x
  3. Step 3: Cross multiply
    13,073.98x = 18,042.04 × 7,409.80
  4. Step 4: Simplify right side
    13,073.98x = 133,687,990.55
  5. Step 5: Solve for x
    x = 133,687,990.55/13,073.98
  6. Step 6: Final answer
    x = 10,225.50

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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.