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Finding the Fourth Proportional to 18,703.50, 25,810.83 and 10,320

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Solution

The fourth proportional to 18,703.50, 25,810.83 and 10,320 is: 14,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,703.50 : 25,810.83 = 10,320 : x
  2. Step 2: Convert to fraction form
    18,703.50/25,810.83 = 10,320/x
  3. Step 3: Cross multiply
    18,703.50x = 25,810.83 × 10,320
  4. Step 4: Simplify right side
    18,703.50x = 266,367,765.60
  5. Step 5: Solve for x
    x = 266,367,765.60/18,703.50
  6. Step 6: Final answer
    x = 14,241.60

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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.