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Finding the Fourth Proportional to 18,871.86, 28,311.74 and 7,778.46

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Solution

The fourth proportional to 18,871.86, 28,311.74 and 7,778.46 is: 11,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,871.86 : 28,311.74 = 7,778.46 : x
  2. Step 2: Convert to fraction form
    18,871.86/28,311.74 = 7,778.46/x
  3. Step 3: Cross multiply
    18,871.86x = 28,311.74 × 7,778.46
  4. Step 4: Simplify right side
    18,871.86x = 220,221,737.12
  5. Step 5: Solve for x
    x = 220,221,737.12/18,871.86
  6. Step 6: Final answer
    x = 11,669.32

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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.