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Finding the Fourth Proportional to 14,209.51, 19,608.41 and 7,837.21

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Solution

The fourth proportional to 14,209.51, 19,608.41 and 7,837.21 is: 10,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.51 : 19,608.41 = 7,837.21 : x
  2. Step 2: Convert to fraction form
    14,209.51/19,608.41 = 7,837.21/x
  3. Step 3: Cross multiply
    14,209.51x = 19,608.41 × 7,837.21
  4. Step 4: Simplify right side
    14,209.51x = 153,675,187.75
  5. Step 5: Solve for x
    x = 153,675,187.75/14,209.51
  6. Step 6: Final answer
    x = 10,814.95

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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.