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Finding the Fourth Proportional to 13,355, 18,427.70 and 7,385.50

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Solution

The fourth proportional to 13,355, 18,427.70 and 7,385.50 is: 10,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,355 : 18,427.70 = 7,385.50 : x
  2. Step 2: Convert to fraction form
    13,355/18,427.70 = 7,385.50/x
  3. Step 3: Cross multiply
    13,355x = 18,427.70 × 7,385.50
  4. Step 4: Simplify right side
    13,355x = 136,097,778.35
  5. Step 5: Solve for x
    x = 136,097,778.35/13,355
  6. Step 6: Final answer
    x = 10,190.77

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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.