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Finding the Fourth Proportional to 27,997.40, 42,005.70 and 12,426.20

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Solution

The fourth proportional to 27,997.40, 42,005.70 and 12,426.20 is: 18,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.40 : 42,005.70 = 12,426.20 : x
  2. Step 2: Convert to fraction form
    27,997.40/42,005.70 = 12,426.20/x
  3. Step 3: Cross multiply
    27,997.40x = 42,005.70 × 12,426.20
  4. Step 4: Simplify right side
    27,997.40x = 521,971,229.34
  5. Step 5: Solve for x
    x = 521,971,229.34/27,997.40
  6. Step 6: Final answer
    x = 18,643.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.