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Finding the Fourth Proportional to 5,777.45, 7,972.88 and 3,124.86

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Solution

The fourth proportional to 5,777.45, 7,972.88 and 3,124.86 is: 4,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.45 : 7,972.88 = 3,124.86 : x
  2. Step 2: Convert to fraction form
    5,777.45/7,972.88 = 3,124.86/x
  3. Step 3: Cross multiply
    5,777.45x = 7,972.88 × 3,124.86
  4. Step 4: Simplify right side
    5,777.45x = 24,914,093.93
  5. Step 5: Solve for x
    x = 24,914,093.93/5,777.45
  6. Step 6: Final answer
    x = 4,312.30

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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.