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Finding the Fourth Proportional to 2,174, 3,000.12 and 1,242.50

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Solution

The fourth proportional to 2,174, 3,000.12 and 1,242.50 is: 1,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174 : 3,000.12 = 1,242.50 : x
  2. Step 2: Convert to fraction form
    2,174/3,000.12 = 1,242.50/x
  3. Step 3: Cross multiply
    2,174x = 3,000.12 × 1,242.50
  4. Step 4: Simplify right side
    2,174x = 3,727,649.10
  5. Step 5: Solve for x
    x = 3,727,649.10/2,174
  6. Step 6: Final answer
    x = 1,714.65

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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.