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Finding the Fourth Proportional to 5,448.74, 8,173.10 and 1,985.99

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Solution

The fourth proportional to 5,448.74, 8,173.10 and 1,985.99 is: 2,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.74 : 8,173.10 = 1,985.99 : x
  2. Step 2: Convert to fraction form
    5,448.74/8,173.10 = 1,985.99/x
  3. Step 3: Cross multiply
    5,448.74x = 8,173.10 × 1,985.99
  4. Step 4: Simplify right side
    5,448.74x = 16,231,658.97
  5. Step 5: Solve for x
    x = 16,231,658.97/5,448.74
  6. Step 6: Final answer
    x = 2,978.98

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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.