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Finding the Fourth Proportional to 6,499.64, 9,750.39 and 2,055.80

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Solution

The fourth proportional to 6,499.64, 9,750.39 and 2,055.80 is: 3,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.64 : 9,750.39 = 2,055.80 : x
  2. Step 2: Convert to fraction form
    6,499.64/9,750.39 = 2,055.80/x
  3. Step 3: Cross multiply
    6,499.64x = 9,750.39 × 2,055.80
  4. Step 4: Simplify right side
    6,499.64x = 20,044,851.76
  5. Step 5: Solve for x
    x = 20,044,851.76/6,499.64
  6. Step 6: Final answer
    x = 3,083.99

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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.