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Finding the Fourth Proportional to 3,423, 5,133.96 and 1,574.04

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Solution

The fourth proportional to 3,423, 5,133.96 and 1,574.04 is: 2,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423 : 5,133.96 = 1,574.04 : x
  2. Step 2: Convert to fraction form
    3,423/5,133.96 = 1,574.04/x
  3. Step 3: Cross multiply
    3,423x = 5,133.96 × 1,574.04
  4. Step 4: Simplify right side
    3,423x = 8,081,058.40
  5. Step 5: Solve for x
    x = 8,081,058.40/3,423
  6. Step 6: Final answer
    x = 2,360.81

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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.