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Finding the Fourth Proportional to 13,503.98, 20,255.80 and 4,619.22

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Solution

The fourth proportional to 13,503.98, 20,255.80 and 4,619.22 is: 6,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.98 : 20,255.80 = 4,619.22 : x
  2. Step 2: Convert to fraction form
    13,503.98/20,255.80 = 4,619.22/x
  3. Step 3: Cross multiply
    13,503.98x = 20,255.80 × 4,619.22
  4. Step 4: Simplify right side
    13,503.98x = 93,565,996.48
  5. Step 5: Solve for x
    x = 93,565,996.48/13,503.98
  6. Step 6: Final answer
    x = 6,928.77

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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.