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Finding the Fourth Proportional to 2,174.50, 3,000.90 and 1,243

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Solution

The fourth proportional to 2,174.50, 3,000.90 and 1,243 is: 1,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.50 : 3,000.90 = 1,243 : x
  2. Step 2: Convert to fraction form
    2,174.50/3,000.90 = 1,243/x
  3. Step 3: Cross multiply
    2,174.50x = 3,000.90 × 1,243
  4. Step 4: Simplify right side
    2,174.50x = 3,730,118.70
  5. Step 5: Solve for x
    x = 3,730,118.70/2,174.50
  6. Step 6: Final answer
    x = 1,715.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.