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Finding the Fourth Proportional to 13,694.51, 20,444.48 and 13,208.51

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Solution

The fourth proportional to 13,694.51, 20,444.48 and 13,208.51 is: 19,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.51 : 20,444.48 = 13,208.51 : x
  2. Step 2: Convert to fraction form
    13,694.51/20,444.48 = 13,208.51/x
  3. Step 3: Cross multiply
    13,694.51x = 20,444.48 × 13,208.51
  4. Step 4: Simplify right side
    13,694.51x = 270,041,118.52
  5. Step 5: Solve for x
    x = 270,041,118.52/13,694.51
  6. Step 6: Final answer
    x = 19,718.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.