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Finding the Fourth Proportional to 5,730.50, 7,910.97 and 5,384.90

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Solution

The fourth proportional to 5,730.50, 7,910.97 and 5,384.90 is: 7,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.50 : 7,910.97 = 5,384.90 : x
  2. Step 2: Convert to fraction form
    5,730.50/7,910.97 = 5,384.90/x
  3. Step 3: Cross multiply
    5,730.50x = 7,910.97 × 5,384.90
  4. Step 4: Simplify right side
    5,730.50x = 42,599,782.35
  5. Step 5: Solve for x
    x = 42,599,782.35/5,730.50
  6. Step 6: Final answer
    x = 7,433.87

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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.