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Finding the Fourth Proportional to 3,146.99, 4,721.12 and 1,762.30

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Solution

The fourth proportional to 3,146.99, 4,721.12 and 1,762.30 is: 2,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.99 : 4,721.12 = 1,762.30 : x
  2. Step 2: Convert to fraction form
    3,146.99/4,721.12 = 1,762.30/x
  3. Step 3: Cross multiply
    3,146.99x = 4,721.12 × 1,762.30
  4. Step 4: Simplify right side
    3,146.99x = 8,319,997.36
  5. Step 5: Solve for x
    x = 8,319,997.36/3,146.99
  6. Step 6: Final answer
    x = 2,643.80

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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.