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Finding the Fourth Proportional to 15,875.67, 23,811.67 and 4,189.80

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Solution

The fourth proportional to 15,875.67, 23,811.67 and 4,189.80 is: 6,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.67 : 23,811.67 = 4,189.80 : x
  2. Step 2: Convert to fraction form
    15,875.67/23,811.67 = 4,189.80/x
  3. Step 3: Cross multiply
    15,875.67x = 23,811.67 × 4,189.80
  4. Step 4: Simplify right side
    15,875.67x = 99,766,015.91
  5. Step 5: Solve for x
    x = 99,766,015.91/15,875.67
  6. Step 6: Final answer
    x = 6,284.21

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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.