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Finding the Fourth Proportional to 27,983.40, 42,023.70 and 14,861.40

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Solution

The fourth proportional to 27,983.40, 42,023.70 and 14,861.40 is: 22,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983.40 : 42,023.70 = 14,861.40 : x
  2. Step 2: Convert to fraction form
    27,983.40/42,023.70 = 14,861.40/x
  3. Step 3: Cross multiply
    27,983.40x = 42,023.70 × 14,861.40
  4. Step 4: Simplify right side
    27,983.40x = 624,531,015.18
  5. Step 5: Solve for x
    x = 624,531,015.18/27,983.40
  6. Step 6: Final answer
    x = 22,317.91

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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.