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Finding the Fourth Proportional to 14,365.49, 19,825.14 and 8,400.65

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Solution

The fourth proportional to 14,365.49, 19,825.14 and 8,400.65 is: 11,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.49 : 19,825.14 = 8,400.65 : x
  2. Step 2: Convert to fraction form
    14,365.49/19,825.14 = 8,400.65/x
  3. Step 3: Cross multiply
    14,365.49x = 19,825.14 × 8,400.65
  4. Step 4: Simplify right side
    14,365.49x = 166,544,062.34
  5. Step 5: Solve for x
    x = 166,544,062.34/14,365.49
  6. Step 6: Final answer
    x = 11,593.34

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1.5x scale

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.