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Finding the Fourth Proportional to 8,130.66, 12,196.02 and 1,974.66

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Solution

The fourth proportional to 8,130.66, 12,196.02 and 1,974.66 is: 2,962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.66 : 12,196.02 = 1,974.66 : x
  2. Step 2: Convert to fraction form
    8,130.66/12,196.02 = 1,974.66/x
  3. Step 3: Cross multiply
    8,130.66x = 12,196.02 × 1,974.66
  4. Step 4: Simplify right side
    8,130.66x = 24,082,992.85
  5. Step 5: Solve for x
    x = 24,082,992.85/8,130.66
  6. Step 6: Final answer
    x = 2,962.00

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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.