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Finding the Fourth Proportional to 8,199.30, 12,301.74 and 2,652.87

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Solution

The fourth proportional to 8,199.30, 12,301.74 and 2,652.87 is: 3,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.30 : 12,301.74 = 2,652.87 : x
  2. Step 2: Convert to fraction form
    8,199.30/12,301.74 = 2,652.87/x
  3. Step 3: Cross multiply
    8,199.30x = 12,301.74 × 2,652.87
  4. Step 4: Simplify right side
    8,199.30x = 32,634,916.99
  5. Step 5: Solve for x
    x = 32,634,916.99/8,199.30
  6. Step 6: Final answer
    x = 3,980.21

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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.