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Finding the Fourth Proportional to 14,337, 21,502.86 and 3,947.40

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Solution

The fourth proportional to 14,337, 21,502.86 and 3,947.40 is: 5,920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337 : 21,502.86 = 3,947.40 : x
  2. Step 2: Convert to fraction form
    14,337/21,502.86 = 3,947.40/x
  3. Step 3: Cross multiply
    14,337x = 21,502.86 × 3,947.40
  4. Step 4: Simplify right side
    14,337x = 84,880,389.56
  5. Step 5: Solve for x
    x = 84,880,389.56/14,337
  6. Step 6: Final answer
    x = 5,920.37

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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.