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Finding the Fourth Proportional to 5,219.34, 7,826.73 and 1,520.67

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Solution

The fourth proportional to 5,219.34, 7,826.73 and 1,520.67 is: 2,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.34 : 7,826.73 = 1,520.67 : x
  2. Step 2: Convert to fraction form
    5,219.34/7,826.73 = 1,520.67/x
  3. Step 3: Cross multiply
    5,219.34x = 7,826.73 × 1,520.67
  4. Step 4: Simplify right side
    5,219.34x = 11,901,897.16
  5. Step 5: Solve for x
    x = 11,901,897.16/5,219.34
  6. Step 6: Final answer
    x = 2,280.35

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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.