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Finding the Fourth Proportional to 16,389.79, 24,581.03 and 6,394.80

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Solution

The fourth proportional to 16,389.79, 24,581.03 and 6,394.80 is: 9,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.79 : 24,581.03 = 6,394.80 : x
  2. Step 2: Convert to fraction form
    16,389.79/24,581.03 = 6,394.80/x
  3. Step 3: Cross multiply
    16,389.79x = 24,581.03 × 6,394.80
  4. Step 4: Simplify right side
    16,389.79x = 157,190,710.57
  5. Step 5: Solve for x
    x = 157,190,710.57/16,389.79
  6. Step 6: Final answer
    x = 9,590.77

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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.