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Finding the Fourth Proportional to 14,073.39, 19,421.25 and 7,785.75

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Solution

The fourth proportional to 14,073.39, 19,421.25 and 7,785.75 is: 10,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.39 : 19,421.25 = 7,785.75 : x
  2. Step 2: Convert to fraction form
    14,073.39/19,421.25 = 7,785.75/x
  3. Step 3: Cross multiply
    14,073.39x = 19,421.25 × 7,785.75
  4. Step 4: Simplify right side
    14,073.39x = 151,208,997.19
  5. Step 5: Solve for x
    x = 151,208,997.19/14,073.39
  6. Step 6: Final answer
    x = 10,744.32

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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.