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Finding the Fourth Proportional to 11,665.70, 17,498.55 and 7,000.10

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Solution

The fourth proportional to 11,665.70, 17,498.55 and 7,000.10 is: 10,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.70 : 17,498.55 = 7,000.10 : x
  2. Step 2: Convert to fraction form
    11,665.70/17,498.55 = 7,000.10/x
  3. Step 3: Cross multiply
    11,665.70x = 17,498.55 × 7,000.10
  4. Step 4: Simplify right side
    11,665.70x = 122,491,599.86
  5. Step 5: Solve for x
    x = 122,491,599.86/11,665.70
  6. Step 6: Final answer
    x = 10,500.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.