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Finding the Fourth Proportional to 30,921.72, 42,712.02 and 22,871.75

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Solution

The fourth proportional to 30,921.72, 42,712.02 and 22,871.75 is: 31,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.72 : 42,712.02 = 22,871.75 : x
  2. Step 2: Convert to fraction form
    30,921.72/42,712.02 = 22,871.75/x
  3. Step 3: Cross multiply
    30,921.72x = 42,712.02 × 22,871.75
  4. Step 4: Simplify right side
    30,921.72x = 976,898,643.44
  5. Step 5: Solve for x
    x = 976,898,643.44/30,921.72
  6. Step 6: Final answer
    x = 31,592.64

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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.