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Finding the Fourth Proportional to 4,711.86, 7,078.74 and 3,421.56

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Solution

The fourth proportional to 4,711.86, 7,078.74 and 3,421.56 is: 5,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.86 : 7,078.74 = 3,421.56 : x
  2. Step 2: Convert to fraction form
    4,711.86/7,078.74 = 3,421.56/x
  3. Step 3: Cross multiply
    4,711.86x = 7,078.74 × 3,421.56
  4. Step 4: Simplify right side
    4,711.86x = 24,220,333.63
  5. Step 5: Solve for x
    x = 24,220,333.63/4,711.86
  6. Step 6: Final answer
    x = 5,140.29

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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.