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Finding the Fourth Proportional to 14,406.50, 19,880.97 and 7,782.50

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Solution

The fourth proportional to 14,406.50, 19,880.97 and 7,782.50 is: 10,739.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.50 : 19,880.97 = 7,782.50 : x
  2. Step 2: Convert to fraction form
    14,406.50/19,880.97 = 7,782.50/x
  3. Step 3: Cross multiply
    14,406.50x = 19,880.97 × 7,782.50
  4. Step 4: Simplify right side
    14,406.50x = 154,723,649.03
  5. Step 5: Solve for x
    x = 154,723,649.03/14,406.50
  6. Step 6: Final answer
    x = 10,739.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.