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Finding the Fourth Proportional to 10,817.79, 16,225.32 and 3,423

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Solution

The fourth proportional to 10,817.79, 16,225.32 and 3,423 is: 5,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.79 : 16,225.32 = 3,423 : x
  2. Step 2: Convert to fraction form
    10,817.79/16,225.32 = 3,423/x
  3. Step 3: Cross multiply
    10,817.79x = 16,225.32 × 3,423
  4. Step 4: Simplify right side
    10,817.79x = 55,539,270.36
  5. Step 5: Solve for x
    x = 55,539,270.36/10,817.79
  6. Step 6: Final answer
    x = 5,134.07

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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.