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Finding the Fourth Proportional to 14,365.13, 19,823.91 and 8,400.09

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Solution

The fourth proportional to 14,365.13, 19,823.91 and 8,400.09 is: 11,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.13 : 19,823.91 = 8,400.09 : x
  2. Step 2: Convert to fraction form
    14,365.13/19,823.91 = 8,400.09/x
  3. Step 3: Cross multiply
    14,365.13x = 19,823.91 × 8,400.09
  4. Step 4: Simplify right side
    14,365.13x = 166,522,628.15
  5. Step 5: Solve for x
    x = 166,522,628.15/14,365.13
  6. Step 6: Final answer
    x = 11,592.15

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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.