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Finding the Fourth Proportional to 4,117, 6,174.90 and 1,519.48

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Solution

The fourth proportional to 4,117, 6,174.90 and 1,519.48 is: 2,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117 : 6,174.90 = 1,519.48 : x
  2. Step 2: Convert to fraction form
    4,117/6,174.90 = 1,519.48/x
  3. Step 3: Cross multiply
    4,117x = 6,174.90 × 1,519.48
  4. Step 4: Simplify right side
    4,117x = 9,382,637.05
  5. Step 5: Solve for x
    x = 9,382,637.05/4,117
  6. Step 6: Final answer
    x = 2,279.00

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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.