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Finding the Fourth Proportional to 3,423, 5,133.54 and 1,572.96

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Solution

The fourth proportional to 3,423, 5,133.54 and 1,572.96 is: 2,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423 : 5,133.54 = 1,572.96 : x
  2. Step 2: Convert to fraction form
    3,423/5,133.54 = 1,572.96/x
  3. Step 3: Cross multiply
    3,423x = 5,133.54 × 1,572.96
  4. Step 4: Simplify right side
    3,423x = 8,074,853.08
  5. Step 5: Solve for x
    x = 8,074,853.08/3,423
  6. Step 6: Final answer
    x = 2,359.00

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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.