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Finding the Fourth Proportional to 22,614.96, 31,218.84 and 19,578

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Solution

The fourth proportional to 22,614.96, 31,218.84 and 19,578 is: 27,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.96 : 31,218.84 = 19,578 : x
  2. Step 2: Convert to fraction form
    22,614.96/31,218.84 = 19,578/x
  3. Step 3: Cross multiply
    22,614.96x = 31,218.84 × 19,578
  4. Step 4: Simplify right side
    22,614.96x = 611,202,449.52
  5. Step 5: Solve for x
    x = 611,202,449.52/22,614.96
  6. Step 6: Final answer
    x = 27,026.47

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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.