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Finding the Fourth Proportional to 3,141.77, 4,709.21 and 1,384.91

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Solution

The fourth proportional to 3,141.77, 4,709.21 and 1,384.91 is: 2,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.77 : 4,709.21 = 1,384.91 : x
  2. Step 2: Convert to fraction form
    3,141.77/4,709.21 = 1,384.91/x
  3. Step 3: Cross multiply
    3,141.77x = 4,709.21 × 1,384.91
  4. Step 4: Simplify right side
    3,141.77x = 6,521,801.55
  5. Step 5: Solve for x
    x = 6,521,801.55/3,141.77
  6. Step 6: Final answer
    x = 2,075.84

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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.