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Finding the Fourth Proportional to 37,978.50, 52,410.12 and 20,983.90

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Solution

The fourth proportional to 37,978.50, 52,410.12 and 20,983.90 is: 28,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.50 : 52,410.12 = 20,983.90 : x
  2. Step 2: Convert to fraction form
    37,978.50/52,410.12 = 20,983.90/x
  3. Step 3: Cross multiply
    37,978.50x = 52,410.12 × 20,983.90
  4. Step 4: Simplify right side
    37,978.50x = 1,099,768,717.07
  5. Step 5: Solve for x
    x = 1,099,768,717.07/37,978.50
  6. Step 6: Final answer
    x = 28,957.67

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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.