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Finding the Fourth Proportional to 19,969, 27,492.44 and 15,712.56

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Solution

The fourth proportional to 19,969, 27,492.44 and 15,712.56 is: 21,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969 : 27,492.44 = 15,712.56 : x
  2. Step 2: Convert to fraction form
    19,969/27,492.44 = 15,712.56/x
  3. Step 3: Cross multiply
    19,969x = 27,492.44 × 15,712.56
  4. Step 4: Simplify right side
    19,969x = 431,976,613.05
  5. Step 5: Solve for x
    x = 431,976,613.05/19,969
  6. Step 6: Final answer
    x = 21,632.36

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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.